# Arithmetic and Geometric Progressions

12+9+6+.........
is equal to (i) -30, (ii) -100?

a(q-r)+b(r-p)+c(p-q)=0

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

### Arithmetic and Geometric Progressions

#### E1: Which term of series

12+9+6+......... is equal to (i) -30, (ii) -100?

#### E2: If a, b, c are the pth, qth and rth terms of an A.p., show that

a(q-r)+b(r-p)+c(p-q)=0

#### If 10th term of an A.P. is 15 and the 15th term is 10, find the series.

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#### 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.

#### Problem 25: Arithmetic and Geometric Progressions

Which term of the series 1, 2, 4, 8, ... is 256?