Question

Find the indicated term of the following arithmetic sequences.

A. 3, 0, -3,... 10th term
B. 19, 11, 3,... 13th term
C.-3, -7, -11,... 16th term
D. 2, 14, 26,... 21st term
E. -34, -24, -14,... 30th term​

Answer 1

To find the indicated term in an arithmetic sequence, use the formula an = a1 + (n - 1)d, where an represents the nth term, a1 is the first term, n is the term number, and d is the common difference.

Step-by-step explanation:

To find the indicated term in an arithmetic sequence, we need to know the formula for the nth term. The formula for an arithmetic sequence is:

an = a1 + (n - 1)d

Where an represents the nth term, a1 is the first term, n is the term number, and d is the common difference. Let's use this formula to find the indicated terms:

• A. The common difference is -3, and the first term is 3. Using the formula, we can find the 10th term: a10 = 3 + (10 - 1)(-3) = -24
• B. The common difference is -8, and the first term is 19. Using the formula, we can find the 13th term: a13 = 19 + (13 - 1)(-8) = -47
• C. The common difference is -4, and the first term is -3. Using the formula, we can find the 16th term: a16 = -3 + (16 - 1)(-4) = -67
• D. The common difference is 12, and the first term is 2. Using the formula, we can find the 21st term: a21 = 2 + (21 - 1)(12) = 242
• E. The common difference is 10, and the first term is -34. Using the formula, we can find the 30th term: a30 = -34 + (30 - 1)(10) = 266