Question

Find the indicated term for the arithmetic sequence with first term, a1 , and common difference, d. Find a8, when a1=9, d=1/2

Answer 1

To calculate the eighth term (a8) of an arithmetic sequence with a first term (a1) of 9 and a common difference (d) of 1/2, you use the formula an = a1 + (n - 1)d and find that a8 equals 12.5.

Step-by-step explanation:

To find the eighth term, a8, of an arithmetic sequence where the first term, a1, is 9 and the common difference, d, is 1/2, use the formula for the nth term of an arithmetic sequence:

an = a1 + (n - 1)d

Substitute the given values into this formula to find a8:

a8 = 9 + (8 - 1)(1/2)

a8 = 9 + 7(1/2)

a8 = 9 + 3.5

a8 = 12.5

Therefore, the eighth term of the sequence is 12.5.