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Find the 35th term of the sequence in which a1 equals 7 and the common difference is 7?
a(n) = 7n so a(35) = 245
What is the 35th term of a1 equals -10 and the common difference is 4?
To find the 35th term of an arithmetic sequence where the first term ( a_1 = -10 ) and the common difference ( d = 4 ), you can use the formula for the ( n )-th term: ( a_n = a_1 + (n-1) \cdot d ). Plugging in the values: [ a_{35} = -10 + (35-1) \cdot 4 = -10 + 34 \cdot 4 = -10 + 136 = 126. ] Thus, the 35th term is 126.
What does common difference mean in math?
In mathematics, the common difference refers to the constant amount that is added or subtracted to each term in an arithmetic sequence to get the next term. It is calculated by subtracting any term from the subsequent term in the sequence. For example, in the sequence 2, 5, 8, 11, the common difference is 3, since each term increases by 3.
What is a sequence in which term is found by adding the same number?
A sequence in which each term is found by adding the same number to the previous term is called an arithmetic sequence. In this type of sequence, the difference between consecutive terms, known as the common difference, remains constant. For example, in the sequence 2, 5, 8, 11, the common difference is 3, as each term is obtained by adding 3 to the previous term.
What is the 14th term in an arithmetic sequence in which the first term is 100 and the common difference is -4?
What is the 14th term in the arithmetic sequence in which the first is 100 and the common difference is -4? a14= a + 13d = 100 + 13(-4) = 48
Find the 35th term of the sequence in which a1 equals 7 and the common difference is 7?
a(n) = 7n so a(35) = 245
What is the 35th term of a1 equals -10 and the common difference is 4?
To find the 35th term of an arithmetic sequence where the first term ( a_1 = -10 ) and the common difference ( d = 4 ), you can use the formula for the ( n )-th term: ( a_n = a_1 + (n-1) \cdot d ). Plugging in the values: [ a_{35} = -10 + (35-1) \cdot 4 = -10 + 34 \cdot 4 = -10 + 136 = 126. ] Thus, the 35th term is 126.
How do you find the 100th term of the sequence?
a + 99d where 'a' is the first term of the sequence and 'd' is the common difference.
What does common difference mean in math?
In mathematics, the common difference refers to the constant amount that is added or subtracted to each term in an arithmetic sequence to get the next term. It is calculated by subtracting any term from the subsequent term in the sequence. For example, in the sequence 2, 5, 8, 11, the common difference is 3, since each term increases by 3.
What is a sequence in which term is found by adding the same number?
A sequence in which each term is found by adding the same number to the previous term is called an arithmetic sequence. In this type of sequence, the difference between consecutive terms, known as the common difference, remains constant. For example, in the sequence 2, 5, 8, 11, the common difference is 3, as each term is obtained by adding 3 to the previous term.
What is the nth term in the arithmetic sequence?
It is a + 8d where a is the first term and d is the common difference.
What is the 14th term in an arithmetic sequence in which the first term is 100 and the common difference is -4?
What is the 14th term in the arithmetic sequence in which the first is 100 and the common difference is -4? a14= a + 13d = 100 + 13(-4) = 48
The nth term -4,-1,4,11,20,31?
14112027
What is the common difference for these arithmetic sequence?
It is the difference between a term (other than the second) and its predecessor.
How do I find the nth term of a decreasing linear sequence?
Whether the sequence is increasing or decreasing makes no difference. The only difference is that the common difference d will be a negative number.
What is the sum of a 14-term arithmetic sequence where the last term is 30 and the common difference is -5?
875
Explain how to find the common difference of an arithmetic sequence?
From any term after the first, subtract the preceding term.
