Posted by **Anonymous** on Sunday, January 6, 2013 at 9:13pm.

The sun of the first five terms of a geometric series is 186 and the sum of the first six terms is 378. if the fourth term is 48, determine a,r, t10, S10

- FUNCTION 11..HELP! -
**PJ**, Sunday, January 6, 2013 at 9:27pm
The sun of the first five terms of a geometric series is 186 and the sum of the first six terms is 378. if the fourth term is 48, determine a,r, t10, S10

- FUNCTION 11..HELP! -
**Steve**, Monday, January 7, 2013 at 10:31am
Since S6 = S5 + T6,

378 = 186 + T6

T6 = 192

T6 = T4*r^2

192 = 48r^2

r^2=4

r=2

T4 = ar^3

48 = 8a

a = 6

Sequence is thus

6, 12, 24, 48, 96, 192, ...

T10 = 6*2^9 = 3072

S10 = 6*(1023) = 6138

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