Number and Algebra
Functions
Geometry & Trigonometry
Statistics & Probability
Calculus
The sum of the first 5 terms of an arithmetic sequence is 20 and the sum of the first 8 terms is 44.
Find the sum of the first 6 terms.
The sum of the first 9 terms of an arithmetic sequence is 81 and the sum of the first 12 terms is 132. Find the sum of the first 15 terms.
Given the sum of the first 4 terms is 14 and the sum of the first 7 terms is 35 for an arithmetic sequence, find the sum of the first 10 terms.
The sum of the first 5 terms of an arithmetic sequence is 35 and the sum of the first 9 terms is 99. Find the sum of the first 7 terms.
Given that S8=96S_8=96S8=96 and S3=21S_3=21S3=21 for an arithmetic sequence, find S6S_6S6.
For an arithmetic sequence, the sum of the first 7 terms is 56 and the sum of the first 3 terms is 18. Find the sum of the first 5 terms.
The sum of the first 4 terms of an arithmetic sequence is 20 and the sum of the first 6 terms is 42.
Find the sum of the first 8 terms.
Given that S10=150S_{10}=150S10=150 and S6=66S_{6}=66S6=66 for an arithmetic sequence.
Find S4S_{4}S4. [6 marks]
Given the sum of the first 8 terms is 40 and the sum of the first 14 terms is 91 for an arithmetic sequence, find the sum of the first 20 terms.
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Question Type 5: Finding sum of first n terms and common difference given first term and last term
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