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 the following A.P.s :
(i) 2, 7, 12, … to 10 terms
(ii) 1/15, 1/12, 1/10, … to 11 terms
Q2 Find the sums given below :
(i) 34 + 32 + 30 + … + 10
(ii) – 5 + ( – 8) + ( – 11) + … + ( – 230)
Q3(iv) In an A.P. (with usual notations) :
given a = 8, an = 62, Sn = 210, find n and d
Q4(i) The first term of an A.P. is 5, the last term is 45 and the sum is 400. Find the number of terms and the common difference
Q4(ii) The sum of first 15 terms of an A.P. is 750 and its first term is 15. Find its 20th term.
Q5 The first and the last terms of an A.P. are 17 and 350 respectively. If the common difference is 9, how many terms are there and what is their sum?
Q7(i) How many terms of the A.P. 25, 22, 19, … are needed to give the sum 116 ? Also find the last term
Q7(ii) How many terms of the A.P. 24, 21, 18, … must be taken so that the sum is 78 ? Explain the double answer.
Q9 In an A.P., the fourth and sixth terms are 8 and 14 respectively. Find the:
(i) first term
(ii) common difference
(iii) sum of the first 20 terms
Q10(i) Find the sum of first 51 terms of the A.P. whose second and third terms are 14 and 18 respectively.
Q10(ii) The 4th term of A.P is 22 and 15th term is 66. Find the first term and the common difference. Hence, find the sum of first 8 term of the A.P.
Q11 If the sum of first 6 terms of an A.P. is 36 and that of the first 16 terms is 256, find the sum of first 10 terms.
Q12 Show that a1, a2, a3, … form an A.P. where an is defined as an = 3 + 4n. Also find the sum of first 15 terms
Q13 The sum of first six terms of an arithmetic progression is 42. The ratio of the 10th term to the 30th term is 1: 3. Calculate the first and the thirteenth term.
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