the sum of how many term of the A.P 14,12,10,.... will be zero
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Answer:
Ans is 15 terms
Step-by-step explanation:
a= 14
d= -2
Sn= 0
thus,. Sn=n/2*(2a+(n-1)*d)
0=n/2*{2(14)+(n-1)*-2}
0=n/2*{28-2n+2}
0=n/2*{30-2n}
0*2=n(30-2n)
0=30n-2n²
2n²-30n+0=0
2n*n=30n
2n=30n/n
n=30/2
n=15
Ans is 15
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