Question

the sum of first 10th term of arithmetic progression is 155 and the sum of first night of the same progression is 126 then the 10th term of the progression is
a. 27
b. 126
c. 29
d. 25​

Answer 1

Answer:

The correct answer is (c)29

Step By Step Explanation :

Given Data :

1. The sum of the first 10th term of AP is 155.(S1)
2. The sum of the first nine terms of AP is 126.(S2)

Formula to be used :

Nth Term = Sum of nth term - Sum of (n-1)th term

Obtaining Results :

10th term = Sum of first 10th terms - Sum of first 9th terms

Therefore, the 10th term = 155-126

= 29

Hence, the final answer is 29.

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Answer 2

Answer: Option (c) Tenth term of the given series is 29.

Step-by-step explanation:

Given : Sum of first 10 terms of arithmetic progression = 155

            Sum of first 9 terms of the same arithmetic progression = 126

To Find : Tenth term of the arithmetic progression.

Concept : Arithmetic progression is a series of number in which the difference between two consecutive numbers in a series is a constant number.

Solution :

Sum of first 10 terms of arithmetic progression = 155

Sum of first 9 terms of the same arithmetic progression = 126

We know that, $S_{n} = \frac{1}{2}(2a + (n - 1)d )$

where, a is the first term of the given series.

d is the common difference,

n is the number of terms in the given arithmetic series.

∴ Tenth term = Sum of 10 terms - Sum of 9 terms

                      = $155 - 126$  = 29

∴ Tenth term of the given series = 29.

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Related links :

21 If the first term of an arithmetic series is 16 and the sum of the first fifteen terms is 870,find the common difference.​

https://brainly.in/question/14236026

Find Sn for the arithmetic series 16+13+10 + … and determine the value of n for which Sn= −6.

https://brainly.in/question/7620133

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