Please help me find the sum of 147 in the arithmetic sequence 2, 7, 12....
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Answered by
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Given :-
- First term = 2
- Common difference = 7 - 2 = 5
- Number of terms = 147
To Find :-
- Sum of terms in Given A.P
Solution :-
★ Sₙ = n/2 [ 2a + ( n - 1 ) d
⇒ Sₙ = 147/2 [ 2 × 2 + ( 147 - 1 ) 5
⇒ Sₙ = 147/2 [ 4 + ( 146 ) 5
⇒ Sₙ = 147/2 [ 4 + 730 ]
⇒ Sₙ = 147/2 × 734
⇒ Sₙ = 147 × 367
⇒ Sₙ = 53946
Sum of 147 terms is 53,946
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