Math, asked by naresh657, 1 day ago

10th term of an arithmetic progression 2,-1,-4 is
1) -21 2)-23 3)-25 4)-27​

Answers

Answered by sherylleema8
0

Answer:

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Step-by-step explanation:

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Answered by payalchatterje
2

Answer:

10th term of an arithmetic progression 2,-1,-4 is (-25)

So option (3) is the correct answer.

Step-by-step explanation:

Given series is 2,-1,-4,.....

First term of the series is 2 and common difference= (-1-2)=-3

Here we want to find 10 th term of the series.

We know,a_n = a+(n-1)d

Where a_n is nth term,a is first term,n is number of term and d is common difference.

Here,

a = 2 \\ d =  - 3 \\ n = 10

So,

a_{10} =  2 + (10 - 1) \times ( - 3) \\ =  2 + 9 \times ( - 3) \\  =  2 - 27 \\  =  - 25

Required 10th term is (-25).

Some others formula of AP series,

1.General from of Ap series-

a,a+d,a+2d,a+3d,.........a+nd.

2.Sum of nth term of AP series-s =  \frac{n}{2} [2a + (n - 1)d]

3.Sum of all terms in a finite AP with the last term as "l"-  \frac{n}{2} (a + l)

Know more about Arithmetic progression

1) https://brainly.in/question/4219484

2) https://brainly.in/question/2768711

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