Question

The sum of the first four terms of a linear sequence (A.P.) is 26 and that of the next four terms is 74. Find the value of
(1)the first term
(2) the common difference

Answer 1

a,a+d,a+2d+a+3d
Sums up to 26

4a+6d=26
Boils down to

2a+3d=13

And likewise

a+4d,a+5d,a+6d,a+7d
Sums up to 74

4a+22d=74
Boils down to

2a+11d=37
-------------------------------------

2a+3d=13......(*)
2a+11d=37......(**)

Subtract (*) from (**)

8d=24
d=3

Now find a
And you're done

Answer 2

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Answer 3

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Answer 4

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Answer 5

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Answer 6

Which is the common difference

Answer 7

Which is the first term and where is the common difference

Answer 8

Which is the common difference

Answer 9

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Answer 10

Please I don't understand anything at all