Question

Determine the common difference of an arithmetic progression An , if A5 is equal to 18 and A2 is equal 9.

Answer 1

$\large\orange{ANSWER}$

¤ Given:-

• A5 = 18
• A2 = 9

¤ To find:-

• Common difference (d)

☆ Now,

---> A5 = 18 [Given]

---> A+4d = 18 -----eq(1)

☆ Also,

---> A2 = 9

---> A+d = 9 -----eq(2)

☆ By Subtracting eq(2) from eq(1) we get,

---> (A+4d)-(A+d) = 18-9.

---> A+4d-A-d = 9.

---> 3d = 9.

---> d = 9/3.

---> d = 3.

♧ Therefrore Common Difference = 3.

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