Question

Calculate Sse for the arithmetic sequence {a,}5sequence {1,3 ={}+}=Ο Α. 1463OB. 91220 C. 8,6716D. 9,26767

Answer 1

`(8,671)/(6)`

Step-by-step explanation:

Here, we want to get the sum of the 58 terms in series

Mathematically, we have the formula to use as:

`S_n\text{ = }(n)/(2)(a\text{ + L)}`

where a is the first term and L is the last term

The first term is when n is 1

We have this calculated as:

`\text{ a}_{}\text{ = }(5)/(6)+(1)/(3)\text{ = }\frac{5+2\text{ }}{6}\text{ = }(7)/(6)`

The last term is the 58th term which is:

`\text{ a}_(58)\text{ = }(290)/(6)\text{ + }(1)/(3)\text{ = }(292)/(6)`

We finally substitute these values into the initial equation

Thus, we have it that:

`S_(58)\text{ = }(58)/(2)((292)/(6)+(7)/(6))\text{ = 29(}(299)/(6))\text{ = }(8671)/(6)`