Answered: 1. If the sum of n terms of an A.P. is…

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1. If the sum of n terms of an A.P. is 2n + 3n^2. Find the nth term.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.1: Infinite Sequences And Summation Notation

Problem 73E

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Question

1. If the sum of n terms of an A.P. is 2n + 3n^2. Find the nth term.

2. Show that the sum of the series log 2 + log 4 + log 8 + log 16 + … n terms is an AP. Hence, find the least n such that the sum exceeds 2003. Show derivation in your solutions and write the value of n in this form that will satisfy the premises.

3. The sum of the first 10 terms of an AP is 30 and the sum of the first 40 terms is 90. Find the first term of the AP and the least value of r such that the rth term is negative.

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