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.
1 answer:
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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