how many terms of the A.p. 22, 26, 30, ....has the sum 400?
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Answer:
a=22
d=26-22=4
Sn=400
S=n/2{a+(n-1)d}
800=n/2{44+(n-1)4}
800=n/2(44+4n-4)
800=n/2(40+4n)
200=10n+n^2
0=n^2+10n-200
0=n(n+20)-10(n+20)
0=(n-10) (n+20)
•°• n = 10, -20
I Hope It Will Help!
^_^
a=22
d=26-22=4
Sn=400
S=n/2{a+(n-1)d}
800=n/2{44+(n-1)4}
800=n/2(44+4n-4)
800=n/2(40+4n)
200=10n+n^2
0=n^2+10n-200
0=n(n+20)-10(n+20)
0=(n-10) (n+20)
•°• n = 10, -20
I Hope It Will Help!
^_^
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