The sum of the first ten terms of an AP is zero and the sum of the first and second term is 24.
Find the first three terms.
Answers
Answer:
the first term is 0. and the second term is 24 ,and third term is 48
Step-by-step explanation:
answer is 0,24,48
Answer:
The first three terms of the AP are 9, 7, and 5.
Explanation:
Given:
First ten terms of AP Is 0.
To Find:
First three terms.
Solution:
Let "a" be the first word in the AP, and "d" represent the common difference.
An AP's first ten terms add up to nothing:
A+(a+d)+(a+2d)+(a+3d)+...+(a+9d) = 0.
We may condense this equation into the following using the formula for the sum of an AP:
10a + 45d = 0
The result of multiplying both sides by 5 is 2a + 9d = 0.
The first and second terms added together equal 24:
a + (a+d) = 24
2a + d = 24
The results of simultaneously solving these two equations are: a = 9 d = -2
The AP's first three words are as follows: a = 9 a + d = 7 a + 2d = 5
Hence, the AP's first three words are 9, 7, and 5.
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