The fifth and twelve terms of an A.P. are respectively 17 and 45. Find the sum of the first 15 terms of the progression
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Step-by-step explanation:
t5 = a+4d
17 = a+4d
a=17-4d... 1
t12=a+11d
45=a+11d
a= 45-11d...2
from 1 and 2,
17-4d=45-11d
7d=28
d=4
a=17-4d
=17-16
a=1
Sn= n/2 *[2a+(n-1) d)
S15= 15/2 * [2+14*4]
= 15/2*58
= 15*29
=435
hope it's help you
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