Question

find the common difference of the A. P and write the next two terms 51,59,67,75,_,_

Answer 1

$\</strong><strong>r</strong><strong>e</strong><strong>d</strong><strong>{\bold{\underline{\underline{Given:}}}}$

• An A.P.
• $\sf{a_{1} =51 \: \: \: \: \: \: a_{2} =59}$

$\</strong><strong>r</strong><strong>e</strong><strong>d</strong><strong>{\bold{\underline{\underline{To \: find:}}}}$

• Common Difference (d)

$\mathcal\green{Solution:-}$

We know that,

$\small \underline{ \blue{ \boxed{ \bf \pink{d = a_{2} - a_{1}}}}}$

$\sf{Hence,d=59-51=8}$

Next two terms of A.P. is

• $\sf{75 + 8 = 83}$
• $\sf{83 + 8 = 91}$

Thus,$\small \underline{ \blue{ \boxed{ \bf \purple{A.P.=51,59,67,75,83,91}}}}$

Hope it helps.