ethanfoster2001 ethanfoster2001

10-05-2021
Mathematics

contestada

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.

Respuesta :

sqdancefan sqdancefan

10-05-2021

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

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