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91Ó°ÊÓ

Write out each sum in Exercises 32 in expanded form, and then calculate the value of the sum.

∑k=310lnk

Short Answer

Expert verified

The expanded notation isln3+ln4+ln5+ln6+ln7+ln8+ln9+ln10 and their sum is ln1814400or 14.411.

Step by step solution

01

Given information

The given summation is ∑k=310lnk.

02

Write the summation in expanded form and evaluate the sum. 

Rewrite the given summation in expanded form.

∑k=310lnk=ln3+ln4+ln5+ln6+ln7+ln8+ln9+ln10=ln3·4·5·6·7·8·9·10[lnm+lnn=lnmn]=ln1814400=14.411

03

Write the conclusion

The expanded form is ln3+ln4+ln5+ln6+ln7+ln8+ln9+ln10.

The sum isln1814400or14.411.

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