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What are the first ten terms of a sequence whose first term is -10 and whose common difference is -2.?
-8
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What is the difference between any two successive terms in a arithmetic sequence?
It is the "common difference".It is the "common difference".It is the "common difference".It is the "common difference".
How would a negative common difference affect the terms in an arithmetic sequence?
In an arithmetic sequence, a negative common difference means that each term decreases as you progress through the sequence. For example, if the first term is 10 and the common difference is -2, the terms would be 10, 8, 6, 4, and so on. This results in a sequence that moves downward indefinitely, leading to increasingly smaller values. Ultimately, the sequence can approach negative values, depending on the number of terms.
What is The value of subtracting two successive terms in a arithmetic sequence.?
In an arithmetic sequence, the value of subtracting two successive terms is always constant and equal to the common difference of the sequence. This difference is the same regardless of which two successive terms are chosen. For example, if the sequence is defined by the first term ( a ) and the common difference ( d ), then the ( n )-th term is ( a + (n-1)d ), and the difference between successive terms ( (a + nd) - (a + (n-1)d) ) simplifies to ( d ).
WHAT ARE THE FIRST THREE OF AN ARITHMETIC SEQUENCE WHOSE LAST TERM IS IF THE COMMON DIFFERENCE IS -5?
To find the first three terms of an arithmetic sequence with a common difference of -5, we first need the last term. If we denote the last term as ( L ), the terms can be expressed as ( L + 10 ), ( L + 5 ), and ( L ) for the first three terms, since each term is derived by adding the common difference (-5) to the previous term. Thus, the first three terms would be ( L + 10 ), ( L + 5 ), and ( L ).
What is an arithmetic sequence examples?
An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant. For example, the sequence 2, 5, 8, 11, 14 has a common difference of 3. Another example is 10, 7, 4, 1, which has a common difference of -3. In general, an arithmetic sequence can be expressed as (a_n = a_1 + (n-1)d), where (a_1) is the first term and (d) is the common difference.
What is the difference between succeeding terms called?
The difference between succeeding terms in a sequence is called the common difference in an arithmetic sequence, and the common ratio in a geometric sequence.
What is a sequence in which a common difference separates terms?
arithmetic sequence
What is the difference between any two successive terms in a arithmetic sequence?
It is the "common difference".It is the "common difference".It is the "common difference".It is the "common difference".
How would a negative common difference affect the terms in an arithmetic sequence?
In an arithmetic sequence, a negative common difference means that each term decreases as you progress through the sequence. For example, if the first term is 10 and the common difference is -2, the terms would be 10, 8, 6, 4, and so on. This results in a sequence that moves downward indefinitely, leading to increasingly smaller values. Ultimately, the sequence can approach negative values, depending on the number of terms.
If a equals 4 and d equals -2 what is the first four terms of the arithmetic sequence?
6
What is The value of subtracting two successive terms in a arithmetic sequence.?
In an arithmetic sequence, the value of subtracting two successive terms is always constant and equal to the common difference of the sequence. This difference is the same regardless of which two successive terms are chosen. For example, if the sequence is defined by the first term ( a ) and the common difference ( d ), then the ( n )-th term is ( a + (n-1)d ), and the difference between successive terms ( (a + nd) - (a + (n-1)d) ) simplifies to ( d ).
What is it where you find terms by adding the common difference to the previous terms?
An arithmetic sequence.
WHAT ARE THE FIRST THREE OF AN ARITHMETIC SEQUENCE WHOSE LAST TERM IS IF THE COMMON DIFFERENCE IS -5?
To find the first three terms of an arithmetic sequence with a common difference of -5, we first need the last term. If we denote the last term as ( L ), the terms can be expressed as ( L + 10 ), ( L + 5 ), and ( L ) for the first three terms, since each term is derived by adding the common difference (-5) to the previous term. Thus, the first three terms would be ( L + 10 ), ( L + 5 ), and ( L ).
What is first four terms of the arithmetic sequence with common difference of 3 and a first term of -26?
29
The nth term -4,-1,4,11,20,31?
14112027
What is an arithmetic sequence examples?
An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant. For example, the sequence 2, 5, 8, 11, 14 has a common difference of 3. Another example is 10, 7, 4, 1, which has a common difference of -3. In general, an arithmetic sequence can be expressed as (a_n = a_1 + (n-1)d), where (a_1) is the first term and (d) is the common difference.
What is the sum of the first 12 terms of the arithmetic sequence?
The sum of the first 12 terms of an arithmetic sequence is: sum = (n/2)(2a + (n - 1)d) = (12/2)(2a + (12 - 1)d) = 6(2a + 11d) = 12a + 66d where a is the first term and d is the common difference.
