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If the first term is 12 and the seventh term is 36, then we have gone up 36-12 in the space of 6 term changes. This is 24 per 6 changes, which can be written as the division 24/6. This works out as 4. Thus the common difference in the sequence is 4.

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How do you find the seventh term?

To find the seventh term of a sequence, you need to identify the pattern or formula governing the sequence. If it's an arithmetic sequence, you can use the formula ( a_n = a_1 + (n-1)d ), where ( a_1 ) is the first term, ( d ) is the common difference, and ( n ) is the term number. For a geometric sequence, use ( a_n = a_1 \cdot r^{(n-1)} ), where ( r ) is the common ratio. Substitute ( n = 7 ) into the appropriate formula to find the seventh term.


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 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


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 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 common first difference of this arithmetic sequence 65 53 41 29?

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What is the seventh term of a sequence whose first term is 1 and whose common ratio is 3?

The way of asking the question is wrong. It is known as common difference not common ratio. Here a = 1 , d= 3 a7=? we know that , an = a + (n-1)d a7= 1 +6x3= 19


How can you get the common difference in an arithmetic sequence?

You subtract any two adjacent numbers in the sequence. For example, in the sequence (1, 4, 7, 10, ...), you can subtract 4 - 1, or 7 - 4, or 10 - 7; in any case you will get 3, which is the common difference.


Explain how to find the common difference of an arithmetic sequence?

From any term after the first, subtract the preceding term.


WHAT ARE THE FIRST THREE OF AN ARITHMETIC SEQUENCE WHOSE LAST TERM IS 1 IF THE COMMON DIFFERENCE IS -5?

6


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 common difference of the following sequence of numbers 10 4 -2 -8?

The common difference is 6; each number after the first equals the previous number minus 6.