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
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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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