find the sum of the first 100 terms of the arithmetic sequence 1,4,7?
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Answer:
14950
Step-by-step explanation:
First term a = 1
Common difference d = 4 -1 = 3
No. of terms n = 100
Using formula,
Sum of first n terms = (2a + (n - 1) d ) n / 2
Sum of 1st 100 terms
= (2 * 1 + (100 - 1) * 3) * 100/2
= (2 + 99 * 3 ) * 50
= (2 + 297) * 50
= 299 * 50
= 14950
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