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1. Arithmetic Sequences
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Q2 of 50 Page 26

The first term of an arithmetic sequence is 1 and the sum of the first four terms is 100. Find the first four terms.

a = 1 S4 = 100 n = 4


Sn =


Substituting everything in above equation,


2a + (4-1) × d = 50


∴ 3d = 48


∴ d = 16


First four terms are 1,17,33,49.


Hence, the answer is written above.


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7

In the table below, some arithmetic sequences are given with two numbers against each. Check whether each belongs to the sequence or not.

1

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3

Prove that for any four consecutive terms of an arithmetic sequence, the sum of the two terms on the two ends and the sum of the two terms in the middle are the same.

4

Write four arithmetic sequences with 100 as the sum of the first four terms.

Questions · 50
1. Arithmetic Sequences
1 2 3 4 5 1 2 3 1 2 3 4 5 1 2 3 4 5 6 7 1 2 3 4 5 6 7 8 9 10 11 12 1 1 1 1 1 2 3 4 5 6 6 6 6 6 7 8 9 10
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