Question

For a given arithmetic sequence, the first term, 47, is equal to 26, and the 37 th term, a37, is equal to 278. th Find the value of the 4th term, a4.​

Answer 1

9514 1404 393

Answer:

  47

Step-by-step explanation:

Given:

  a1 = 26, a37 = 278

Find:

  a4

Solution:

Filling in the given values in the formula for the general term of an arithmetic sequence, we have ...

  an = a1 +d(n -1)

  a37 = 26 +d(37 -1) = 278

  d = (278 -26)/36 = 7 . . . . . . solve for d

Then the 4th term is ...

  a4 = 26 +7(4 -1)

  a4 = 47