Question 1162919
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:
(¡) the first term;
(¡¡) the common difference.
<pre>
{{{"1."}}}{{{a[1]+(a[1]+d)+(a[1]+2d)+(a[1]+3d)=26}}}

{{{"2."}}}{{{4a[1]+6d=26}}}

{{{"3."}}}{{{2a[1]+3d=13}}}


{{{"4."}}}{{{(a[1]+4d)+(a[1]+5d)+(a[1]+6d)+(a[1]+7d)=74}}}

{{{"5."}}}{{{4a[1]+22d=74}}}

{{{"5."}}}{{{2a[1]+11d=37}}}
From 3 and 6, we have

{{{system(2a[1]+3d=13, 2a[1]+11d=37)}}}

Solve that system for first term a<sub>1</sub> and common difference d.

Edwin</pre>