there are 37 terms in an arithmetic progression the sum of three term place exactly at the middle is 225 and the sum of last three terms is 429 write the automatic progression
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Middle term is 19th
So
a+17d+a+18d+a+19d=225
3a+54d=225
a+18d=75
For last 3 terms
a+34d+a+35d+a+36d=429
a+35d=143
Solving these 2 terms 17d=68
d=4,a=3
So AP is
3,7,11,........,147
So
a+17d+a+18d+a+19d=225
3a+54d=225
a+18d=75
For last 3 terms
a+34d+a+35d+a+36d=429
a+35d=143
Solving these 2 terms 17d=68
d=4,a=3
So AP is
3,7,11,........,147
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