Math, asked by bhavisayk, 4 months ago

19. The Sum of first 24th terms with nth term
tn=3+2n of an AP is​

Answers

Answered by Anonymous
3

Solution:-

Given:-

=> Tₙ = 3 + 2n

To find :-

=> Sum of 24th term ( S₂₄ )

Now Take

=>Tₙ = 3 + 2n

Now Take n = 1

=> T₁ = 3 + 2 × 1

=> T₁ = 3 + 2

=> T₁ = 5

Now Take n = 2

=> T₂ = 3 + 2 × 2

=> T₂ = 3 + 4

=> T₂ = 7

Now Take n = 3

=> T₃ = 3 + 2 × 3

=> T₃ = 3 + 6

=> T₃ = 9

Now Take n = 4

=> T₄ = 3 + 2 × 4

=> T₄ = 3 + 8

=> T₄ = 11

Sequences are

=> 5 , 7 , 9 , 11 ,...................

Now we have to Find Sum of 24th term ( S₂₄ )

Formula

=> Sₙ = n/2{2a + ( n - 1 )d}

=> S₂₄ = 24/2{ 2 × 5 + ( 24 - 1 )×2}

=> S₂₄ = 12 { 10 + 23 × 2 }

=> S₂₄ = 12 { 10 + 46 }

=> S₂₄ = 12 × 56

=> S₂₄ = 672

Answer

Sum of 24th term ( S₂₄ ) = 672

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