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 Write the first four terms of the A.P. when its first term is – 5 and the common difference is – 3.
Q2 Verify that each of the following lists of numbers is an A.P., and the write its next three terms:
(i) 0, ¼, ½, ¾, …
(ii) 5, 14/3, 13/3, 4, …
Q4 Show that the list of numbers 9, 12, 15, 18, … form an A.P. Find its 16th term and the nth.
Q6 If the 8th term of an A.P. is 31 and the 15th term is 16 more than its 11th term, then find the A.P.
Q7 The 17th term of an A.P. is 5 more than twice its 8th term. If the 11th term of the A.P. is 43, then find the wth term.
Q8 The 19th term of an A.P. is equal to three times its 6th term. If its 9th term is 19, find the A.P.
Q9 If the 3rd and the 9th terms of an A.P. are 4 and – 8, respectively, then which term of this A.P. is zero?
Q11 The 24th term of an A.P. is twice its 10th term. Show that its 72nd term is four times its 15th term.
Q12 Which term of the list of numbers 20, 19¼, 18½, 17¾, … is the first negative term?
Q15 The angles of a quadrilateral are in A.P. If the greatest angle is double of the smallest angle, find all the four angles.
Q18 (i) How many terms of the A.P. – 6, (-11/2), – 5, … make the sum – 25?
(ii) Solve the equation 2 + 5 + 8 + … + x = 155
Q19 If the third term of an A.P. is 5 and the ratio of its 6th term to the 10th term is 7 : 13, then find the sum of first 20 terms of this A.P.
Q20 The sum of first 14 terms of an A.P. is 1505 and its first term is 10. Find its 25th term.
Q22 The fourth term of a G.P. is the square of its second term and the first term is – 3. Find its 7th term.
Q23 If the 4th, 10th and 16th terms of a G.P. are x, y and z respectively, prove that x, y and z are in G.P.
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