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Darya [45]
3 years ago
7

What is the sum of the sequence 152,138,124, ... if there are 24 terms?

Mathematics
2 answers:
N76 [4]3 years ago
3 0

Answer: -216

Step-by-step explanation:

To solve the exercise you must use the formula shown below:

Sn=\frac{(a_1+a_n)n}{2}

Where:

a_1=152\\a_n=a_{24}

You should find  a_{24}

The formula to find it is:

a_n=a_1+(n-1)d

Where d is the difference between two consecutive terms.

d=138-152=-14

Then:

a_{24}=152+(24-1)(14)=-170

Substitute it into the first formula. Therefore, you obtain:

S_{24}=\frac{(152-170)(24)}{2}=-216

kap26 [50]3 years ago
3 0

<u>Answer:</u>

Sn = -216

<u>Step-by-step explanation:</u>

We are given the following sequence and we are to find the sum of the given sequence if there are 24 terms in it:

152, 138, 124, ...

We know that the formula of sum for an arithmetic sequence is given by:

S_n =\frac{n(a_1+a_n)}{2}

where a_1 is the first term (124)and a_n is the last term a_{24}.

To find a_1, we will use the following formual:

a_n=a_1+(n-1)d

a_24=152+(24-1)(-14)

a_{24}=170

Substituting the given values in the above formula to get the sum:

S_n =\frac{24(152-170)}{2}

S_n=-216

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