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Answer:
5002
Step-by-step explanation:
The given series is an arithmetic progression with
a = the first term
d = common difference
n = number of terms
S = the sum of the nth term
Recall that
S = n/2(2a + (n-1)d)
As such,
a = 2
d = 8 -2 = 14 - 8 = 6
n = 41
Hence
S = 41/2(2*2 + (41 - 1)6)
= 41/2 ( 4+ 240)
= 41 * 244/2
= 5002