Write the series 1-0.5-2+ ... for 12 terms using summation notation

The summation notation for the given series is  

The given series is,

Since,    

Here we observe that,  common difference between each term is - 1.5.

So, given series is an Arithmetic progression series.

First term, , common difference,

General term for AP series,

Hence, summation series up to 12 terms is,

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The series

            1 -0.5-2-3.5 -5-6.5-8-9.5-11-12.5-14-15.5 upto 12 terms

Step-by-step explanation:

Step(i):-

Given series  1 -0.5 -2 +

we know that the sum of the sequence is called a series

The sequence is 1, -0.5, -2, -3.5,is in AP

a = 1 and the difference between the two terms is equal 'd' = -1.5

Step(ii):-

adding 1.5 value of each term

The series

            1 -0.5-2-3.5 -5-6.5-8-9.5-11-12.5-14-15.5 upto 12 terms

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step-by-step explanation:

the answer is c.

step-by-step explanation: