Class 10 ICSE Chapter Arithmetic and Geometric Progression
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class 10 Arithmetic and Geometric Progression Exercise9-1
Arithmetic and Geometric Progression
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Q1 Find the sum of :
(i) 20 terms of the series 2+6+18 +...
(ii) 10 terms of series 1 + √3 +34...
(iii) 6 terms of the G.P. 
(iv) 5 terms and n terms of the series 
Q3 The nth term of a G.P. is 128 and the sum of its n terms is 255. If its common ratio is 2, then find its first term.
Q4 (i) How many terms of the G.P. 3, 32, 33, ... are needed to give the sum 120?
(ii) How many terms of the G.P. 1, 4, 16, ... must be taken to have their sum equal to 341 ?
will make sum 55/72 ?
Q6 The 2nd and 5th terms of a geometric series are -(1/2) and 1/16 respectively. Find the sum of the series upto 8 terms.
Q7 The first term of a G.P. is 27 and 8th term is 1/81 Find the sum of its first 10 terms.
Q8 Find the first term of the G.P. whose common ratio is 3, last term is 486 and the sum of whose terms is 728.
Q9 In a G.P. the first term is 7, the last term is 448, and the sum is 889. Find the common ratio.
Q10 Find the third term of a G.P. whose common ratio is 3 and the sum of whose first seven terms is 2186.
Q11 If the first term of a G.P. is 5 and the sum of first three terms is 31/5, find the common ratio
Q12 Three numbers are in A.P. and their sum is 15. If 1, 4 and 19 are added to these numbers respectively, the resulting numbers are in G.P. Find the numbers.
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