Q9. (a) The nth term of a sequence is 6- 2n Work out the first three terms of the sequence. (b) Here is the term-to-term rule for a different sequence. Multiply previous term by 2 and then subtract 3 The third term in this sequence is 31. Work out the first term. A geometric series has second term 375 and fifth term 81. (c) (i) Show that the common ratio of the geometric series is 0.6. (ii) Find the first term of the geometric series. (d) Find the sum to infinity of the geometric series.

Q9. (a) The nth term of a sequence is 6- 2n Work out the first three terms of the sequence. (b) Here is the term-to-term rule for a different sequence. Multiply previous term by 2 and then subtract 3 The third term in this sequence is 31. Work out the first term. A geometric series has second term 375 and fifth term 81. (c) (i) Show that the common ratio of the geometric series is 0.6. (ii) Find the first term of the geometric series. (d) Find the sum to infinity of the geometric series.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.3: Geometric Sequences

Problem 81E

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