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3 years ago

5

Find S12 for the series 2 + 5 + 8 +...

2 answers:

Svetllana [295]3 years ago

7 0

Hi, I'm pretty sure by S12 you mean the sum of all the 12 terms in the series 2 + 5 + 8 + .....

Then, first you find the pattern:
5 -2 = 3
8 -5 = 3
This is an arithmetic series with a common difference of 3. Next, we find the last term, or the 12th term.

A12 = A1 + (n - 1)d
A12 = 2 + (12 - 1)3
A12 = 35

Since, we know the first and last terms of the series, we could find the sum by this formula:

S = (n/2)*(A1 + A12)
S = (12/2) * (2 + 35)
S = 222

The answer is 222.

olga55 [171]3 years ago

4 0

2+5+8+11+14+17+20+23+26+29+32+35

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