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

Question

(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

This is so amazing thanks I am using it to address my assignment over here in Nigeria Delta Babe

Answer 3

now i understand i knew the answer but did not know how to get it THANKS

Answer 4

I'm so grateful I've been having a hard time doing it thanks

Answer 5

Thanks i have finished my assignment all ready it was a hard task

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

awesome and good

Answer 10

Please I don't understand anything at all