Write the formula for sum of first k terms by an AP with first term ‘a’ and common
difference ‘d’. (Write in both forms)
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Correct option is
A
a=2d
Given, first term =a, common difference =d
By using Sn=2n[2a+(n−1)d] we have,
∴SxSkx=2x(2a+(x+1)d)2kx(2a+(kx−1)d)
⇒SxSkx=(2a+(x+1)d)k(2a+(kx−1)d)
⇒SxSkx=2a+xd−dk(2a−d+kxd)
Now this will be independent of x only when 2a=d or a=2d
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sorry... I don't know how to solve
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