Question

Find the first five terms for the following arithmetic sequence , = -3n+20.

A. 17, 14, 11, 8,5
B. C. 20, 17, 14, 11,8
C. 17, 20, 23, 26, 29
D. 20, 23, 26, 29, 32"

Answer 1

In an arithmetic sequence defined by the formula t_n = -3n + 20, the first five terms are calculated by substituting values of 'n' from 1 to 5. These terms are 17, 14, 11, 8, and 5, respectively.

Step-by-step explanation:

The question asks us to find the first five terms for the arithmetic sequence given by the formula tn = -3n + 20, where tn represents the nth term of the sequence.

To find the first term, we substitute n = 1 into the formula:
t1 = -3(1) + 20 = 17.

For the second term, substitute n = 2:
t2 = -3(2) + 20 = 14.

Continue this process for the next three terms:

• t3 = -3(3) + 20 = 11
• t4 = -3(4) + 20 = 8
• t5 = -3(5) + 20 = 5

Therefore, the first five terms of the arithmetic sequence are 17, 14, 11, 8, and 5.