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Find the sum 60+91+122+153+184 sum of the arithmetic series



Sagot :

Answer:

To find the sum of an arithmetic series, you can use the formula:

\[ \text{Sum} = \frac{n}{2} \times (a_1 + a_n) \]

where:

- \( \text{Sum} \) is the sum of the series,

- \( n \) is the number of terms in the series,

- \( a_1 \) is the first term, and

- \( a_n \) is the last term.

In this case, the series is:

\[ 60 + 91 + 122 + 153 + 184 \]

The first term, \( a_1 \), is 60, the last term, \( a_n \), is 184, and there are 5 terms in total. So, \( n = 5 \).

Plugging these values into the formula:

\[ \text{Sum} = \frac{5}{2} \times (60 + 184) \]

\[ \text{Sum} = \frac{5}{2} \times 244 \]

\[ \text{Sum} = \frac{5}{2} \times 244 \]

\[ \text{Sum} = \frac{5 \times 244}{2} \]

\[ \text{Sum} = \frac{1220}{2} \]

\[ \text{Sum} = 610 \]

So, the sum of the series is 610.