Find the sum 7 75 8 85 1025 The sum is Type an integer

Find the sum. 7 + 7.5 + 8 + 8.5 + ... + 102.5 The sum is (Type an integer or a decimal. Round to one decimal place as needed)

Solution

series is arithematic

7+7.5+8+8.5+.....102.5

first term a=7, common difference d =0.5

number of terms n=((102.5-7)/0.5) +1

n=192

sum of n terms of arithematic progression = (n/2)[2a+ (n-1)d]

sum= (192/2)[2*7 + (192-1)0.5]

sum= (91)[14 + 95.5]

sum =9964.5

 Find the sum. 7 + 7.5 + 8 + 8.5 + ... + 102.5 The sum is (Type an integer or a decimal. Round to one decimal place as needed)Solutionseries is arithematic 7+7.

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