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Chapter 12: Q. 12.22 (page 1171)

Write the sum using summation notation:1+14+19+116+125.

Short Answer

Expert verified

The sum of1+14+19+116+125can be written in the summation notation as鈭�n=151n2.

Step by step solution

01

Step 1. Given information

Thegivensumis1+14+19+116+125Wehavetowritethesumusingsummationnotation.

02

Step 2. Find the pattern

Now,

We look for a pattern in the terms.

n:12345...nTerms111419116125...Pattern112122132142152...1n2
03

Step 3. Conclusion

From the above table, we can observe that all the numerators are 1 and the denominators are power of the term.

Therefore,

We can write the sum for the 5 terms in summation notation as

鈭�n=151n2.

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Most popular questions from this chapter

In the following exercises, find the indicated term of a sequence where the first term and the common ratio is given.

Finda13givena1=7andr=2.

Find a general term for the sequence whose first five terms are shown.

11,14,19,116,125,鈥�

In the following exercises, expand each binomial using Pascal's Triangle.

(x-y)5

In the following exercises, write the first five terms of each geometric sequence with the given first term and common ratio.

a1=27andr=13

In the following exercises, expand each binomial using Pascal's Triangle.

(3x-5)3
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