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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

Advanced Engineering Mathematics
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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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
Transcribed Image Text: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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