4. a) The 10th term of an AP is 75 and the sum of the first 15 terms is 1035. i. Write two equations in terms of a and d for the 10th term and the sum of the first 15 terms. ii. Hence, find the first term and the common difference iii. Determine the 12th term of the progression

4. a) The 10th term of an AP is 75 and the sum of the first 15 terms is 1035. i. Write two equations in terms of a and d for the 10th term and the sum of the first 15 terms. ii. Hence, find the first term and the common difference iii. Determine the 12th term of the progression

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Description: 4.a) The 10th term of an AP is 75 and the sum of the first 15 terms is 1035.i.Write two equations in terms of a and d for the 10th term and the sum of thefirst 15 terms.ii.Hence, find the first term and the common differenceiii.Determine the 12th te

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Concept explainers

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence. It was invented by German mathematician Carl Friedrich Gauss.

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Question

4.
a) The 10th term of an AP is 75 and the sum of the first 15 terms is 1035.
i.
Write two equations in terms of a and d for the 10th term and the sum of the
first 15 terms.
ii.
Hence, find the first term and the common difference
iii.
Determine the 12th term of the progression
b) The 4th term of a GP is -96 and the 7th term is 768.
i.
Find the first term and the common ratio
ii.
Hence, find the sum of the first 13 terms

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