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Nata [24]
3 years ago
9

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.​
Mathematics
1 answer:
GrogVix [38]3 years ago
6 0

9514 1404 393

Answer:

  47

Step-by-step explanation:

<u>Given</u>:

  a1 = 26, a37 = 278

<u>Find</u>:

  a4

<u>Solution</u>:

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

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