(a) In an arithmetic progression (AP) the sum of the 5th term and term is 64, and the sum of the 2nd term and 6th term is 34. Fi the first term and common difference. (b) For a geometric progression (GP) whose first term is 10 and ratio is 05 find the sum of the first 12 terms and th

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
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Chapter12: Sequences, Series And Binomial Theorem
Section: Chapter Questions
Problem 328PT: Find the first term and common difference of an arithmetic sequence whose ninth term is -1 and the...
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5.
(a) In an arithmetic progression (AP) the sum of the 5th term and 9th
term is 64, and the sum of the 2nd term and 6th term is 34. Find
the first term and common difference.
(b) For a geometric progression (GP) whose first term is 10 and
common ratio is 0.5, find the sum of the first 12 terms and the
sum to infinity (expressing your answer correct to 4 decimal
places).
Transcribed Image Text:5. (a) In an arithmetic progression (AP) the sum of the 5th term and 9th term is 64, and the sum of the 2nd term and 6th term is 34. Find the first term and common difference. (b) For a geometric progression (GP) whose first term is 10 and common ratio is 0.5, find the sum of the first 12 terms and the sum to infinity (expressing your answer correct to 4 decimal places).
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