Ask Question
8 September, 21:59

Consider the arithmetic sequence presented in the table below.

n 5 71

an 74 1,460

Hint: an = a1 + d (n - 1), where a1 is the first term and d is the common difference.

Part A: What is the first term, a1, of the sequence?

Part B: What is the general term equation, an, for this sequence?

Part C: What is the value of the 13th term of this sequence?

+1
Answers (1)
  1. 9 September, 00:13
    0
    A5 and a71 are 66 places apart

    a71 = a5 + 66d

    1460 = 74 + 66d

    1460 - 74 = 66d

    1386 = 66d

    1386/66 = d

    21 = d

    a5 = a + (5-1) * 21

    74 = a + 4 * 21

    74 = a + 84

    74 - 84 = a

    -10 = a < = = = first term

    general term equation : an = - 10 + (n-1) * 21

    a13 = - 10 + (13 - 1) * 21

    a13 = - 10 + 12*21

    a13 = - 10 + 252

    a13 = 242
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “Consider the arithmetic sequence presented in the table below. n 5 71 an 74 1,460 Hint: an = a1 + d (n - 1), where a1 is the first term and ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers