## The 4th term of an A.P. is 64 and the 54th term is -61, Show the 23rd term is 16½

### Arithmetic and Geometric Progressions

#### Problem 10: Arithmetic and Geometric Progressions

Find three numbers in G.P. such that their sum is 21 and the sum of their squares is 189

#### Problem 11: Arithmetic and Geometric Progressions

If a, b, c are in G.P., prove that a(b2+c2)=c(a2+b2)

#### Problem 12: Arithmetic and Geometric Progressions

If a, b, c are in G.P., prove that a(b2+c2)=c(a2+b2)

#### Problem 13: Arithmetic and Geometric Progressions (2)

If a, b, c are in G.P., prove that a(b2+c2)=c(a2+b2)

#### Problem 14: Arithmetic and Geometric Progressions (3)

If a, b, c are in G.P., prove that a(b2+c2)=c(a2+b2)

#### Problem 15: Arithmetic and Geometric Progressions (4)

If a, b, c are in G.P., prove that a(b2+c2)=c(a2+b2)

#### Problem 16: Arithmetic and Geometric Progressions (5)

If a, b, c are in G.P., prove that a(b2+c2)=c(a2+b2)

#### Problem 17: Arithmetic and Geometric Progressions (6)

If a, b, c are in G.P., prove that a(b2+c2)=c(a2+b2)

#### Problem 18: Arithmetic and Geometric Progressions (7)

If a, b, c are in G.P., prove that a(b2+c2)=c(a2+b2)

#### Problem 19: Arithmetic and Geometric Progressions (8)

If a, b, c are in G.P., prove that a(b2+c2)=c(a2+b2)

#### Problem 20: Arithmetic and Geometric Progressions

The sum of an infinite series in G.P. 57 and the sum of their cubes is 9747, find the series

#### Problem 21: Arithmetic and Geometric Progressions

If the value of Fiat car depreciated by 25 per cent annually, what will be its estimated value at the end of 8 years if its present value is $2048?

#### Problem 22: Arithmetic and Geometric Progressions

Find a G.P. whose 3rd and 6th terms are 1 and -1/8, respectively. Write down the 10th term also.

#### Problem 23: Arithmetic and Geometric Progressions

The third term of a G.P. is 2/3 and the 6th term is 2/18, find this 8th term.

#### Problem 24: Arithmetic and Geometric Progressions

The product of first and second terms of a G.P. is 256 and that of second and third terms is 16. find the 5th term.

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