1,7,13,.... is a arithmetic sequence. find the sum of consecutive 22 term of this sequence?
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answer
22 term = 1+(22-1)6
=1+21+6
=127
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a= 1 , d= 7-1 =6 , n= 22 Sn =?
Sn = n/2{2a+(n-1)d}
= 22/2{2+(22-1)6}
Sn = 11 { 2+66} = 11×68 = 784
Sn = 784
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