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Chapter 12: 47 (page 816)

Find each sum

4+4.5+5+5.5+...+100

Short Answer

Expert verified

The solution isS193=10036

Step by step solution

01

Given information

4+4.5+5+5.5+...+100

02

Calculation

We have,4+4.5+5+5.5+...+100

So, a1=4,d=0.5,an=100

Now use formula,

an=a1+(n-1)d鈬�100=4+(n-1)0.5鈬�100=4+0.5n-0.5鈬�0.5n=96.5鈬�n=193

To find sum S193

S193=1932[4+100]=10036

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