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Deffense [45]
3 years ago
11

Use summation notation to write the series 49 + 54 + 59 +... for 14 terms.

Mathematics
2 answers:
SIZIF [17.4K]3 years ago
7 0
 S<span>ummation notation to write the series 49 + 54 + 59 +... for 14 terms is attached .
I hope that will help.

</span>

My name is Ann [436]3 years ago
5 0

Answer:

Arithmetic sequence states that a sequence of numbers such that the difference between the consecutive terms is constant.

it is given by:  a_n = a+(n-1)d where a is the first term , n is the number of term and d is the common difference.

Given the series: 49 + 54 + 59+ ......

here, Common difference(d) = 5

First term(a) = 49

by definition we have;

For nth term

a_n = a+(n-1)d

a_n = 49+(n-1)5

a_n =49+5n -5 = 5n + 44

To write the series using summation notation for 14 terms

Summation symbol '\sum'

The series for 14th terms is given by;

\sum_{n=1}^{14}(5n +44)


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