Posted by **HanuMath25/11** on Sunday, November 25, 2012 at 5:29pm.

The third term of a geometric series is 24 and the fourth term is 36. Determine the sum of the first 10 terms. Express your answers as an exact fraction.

- Pre Calculus -
**Steve**, Sunday, November 25, 2012 at 8:36pm
T4 = T3*r, so r = 36/24 = 3/2

T3 = ar^2, so 24 = a(9/4), so a=32/3

S10 = 32/3 * (1-(3/2)^10)/(1 - 3/2) = 58025/48

seems clumsy, so better check my math.

## Answer this Question

## Related Questions

- Geometric series - The sum of the first five terms of a geometric series is 186 ...
- Math(arithmetic & Geometric Series) - 1)The sum of 6 terms of an arithmetic ...
- Math - The third term of a geometric series is 24 and the fourth term is 36. ...
- math - The sum of the first 10 terms of an arithmetic series is 145 and the sum ...
- math - The third term of a geometric progressiom is nine times the first term.if...
- Math - Q: Determine the sum of the first seven terms of a geometric series in ...
- Maths - 1..The first 2 terms of a geometric progression are the same as the ...
- Pre-Calculus - Q.Determine the sum of each infinite geometric series. t_1= 8 r...
- Math *URGENT - Please give the answers and solutions for each. 1.If the second ...
- geometry - The first term of a geometric sequencf is 3 and the sum of the second...

More Related Questions