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Prove that am + n + am - n =2am
Ans: a m + n = a1 + (m + n - 1) d
a m-n = a1 + (m - n -1) d
am = a1 + (m-1) d
Add 1 & 2
a m+n + a m-n = a1+(m+n-1) d+ a1 + (m-n-1)d
= 2a1+(m+n+m-n-1-1)d
= 2a1+ 2(m-1)d
= 2[a1+ (m-1)d]
= 2am. Hence proved.
4 7 9 6
GCD of "27ab,5xy"
why
1 1/3:2/3:1/6
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