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FIND THE COMMON DIFFERENCE OF A.P …

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FIND THE COMMON DIFFERENCE OF A.P WHOSE FIRST TERM IS 4 THE LAST IS 49 AND THE SUM OF ALL ITS TERM IS 256
  • 1 answers

Sia ? 6 years, 5 months ago

According to question we are given that, a = 4, l = 49 and Sn = 265.we know that S​​​​​​n ​​​​= {tex}\frac n2{/tex}(a+l)
{tex}\therefore{/tex} 265 = {tex}\frac{n}{2}{/tex}(4 + 49) {tex}\Rightarrow{/tex} 530 = 53n {tex}\Rightarrow{/tex} n = 10
{tex}\therefore l{/tex} = a10 = a + 9d
{tex}\Rightarrow{/tex} 49 = 4 + 9d {tex}\Rightarrow{/tex} 9d = 45 {tex}\Rightarrow{/tex} d = 5
{tex}\therefore{/tex} Common difference of = 5.

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