If the sum of the first q term of A.P.is 2q + 3q² , what is it's common difference? step by step solution no spamming or else i'll report so mind it...
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Step-by-step explanation:
Given sum of first q terms, Sq = 2q + 3q2
When q = 1, we will get S1 = 2 x 1 + 3(1)2 = 2 + 3 = 5
Therefore, Sum of first terms = First term = 5
When q = 2, we will get S2 = 2(2) + 3(2)2 = 4 + 12 = 16
Now,
Second term = Sum of two terms - Sum of first term
= S2 – S1 = 16 – 5 = 11
Common difference, (d) = Second term - First term
= 11 – 5 = 6
Therefore, Common difference (d) = 6
Hope it Helps..!!
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