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Romashka-Z-Leto [24]
3 years ago
5

Time sensitive question. Find the sum of the first 26 terms of an arithmetic series whose first term is 7 and 26th term is 93.

Mathematics
1 answer:
lisabon 2012 [21]3 years ago
7 0

ANSWER

S_{26}=1300

EXPLANATION

The sum of an arithmetic sequence whose first term and last terms are known is calculated using

S_{n}= \frac{n}{2} (a + l)

From the given information, the first term of the series is

a = 7

and the last term of the series is

l = 93

The sum of the first 26 terms is

S_{26}= \frac{26}{2} (7 + 93)

S_{26}= 13 (100)

S_{26}=1300

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