find the sum of first 28 terms of an a.pwhose nth term is 4n-3
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Answer:
1540
Step-by-step explanation:
nth term of AP a(n) = 4n - 3
First term ( l ) = a(1) = 4( 1 ) - 3 = 4 - 3 = 1
Last term ( l ) = a(28) = 4( 28 ) - 3 = 112 - 3 = 109
Sum of first 28 terms = S(8) = n / 2 × ( a + l )
⇒ S(28) = 28/2 × ( 1 + 109 )
⇒ S(28) = 14 × 110
⇒ S(28) = 1540
Therefore the sum of 28 terms of an AP is 1540.
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