Question

find the sum of the following series ​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

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First term (a)=5.6 and n= 25

Common difference (d)=6.7-5.6=7.8-6.7=1.1

As this series is in A.P. so we can use this formula for sum

$\mathfrac{\huge{\boxed{\bold{S_n={\frac{n}{2}} * [2a+(n-1)d] }}}}}}$

$\textsf{\underline{\underline{\bold{\red{Now Putting The Values}}}}}}$

$\mathsf{\huge{\bold{S_n={\frac{25}{2}} * [2*5.6+(25-1)1.1] }}}}}}$

$\mathsf{\huge{\bold{={\frac{25}{2}} * (11.2+24*1.1) }}}}}}$

$\mathsf{\huge{\bold{={\frac{25}{2}} * (11.2+26.4) }}}}}}$

$\mathsf{\huge{\bold{={\frac{25}{2}} * (37.6) }}}}}}$

$\mathsf{\huge{\bold{={12.5* 37.6}}}}}}$

$\mathsf{\huge{\boxed{\boxed{\bold{\red{=470}}}}}}$

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