Question

What is the common difference of an A. P in which a10-a8=42



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Answer 1

Answer:

21...................

Answer 2

Step-by-step explanation:

Given:-

$a {}^{10}-a {}^{8}=42$

To find:-

Common difference=d

Solution:-

• According to the question

$a {}^{8},a{}^{9},a {}^{8}$

• As we know that

$a {}^{10}-{a}^{9}={a}^{9}-{a}^{8}=d$

${:}\longmapsto$$d={\dfrac {a {}^{10}-{a}^{8}}{2}}$

${:}\longmapsto$$d={\dfrac {42}{2}}$

${:}\longmapsto$$d=21$

$\therefore$${\underline{\boxed{\bf {Common\:difference=d=21}}}}$