The Arithmetic progression
If in an arithmetic progression
First term = a and common difference = d
Then n th term of the AP is
Let in the arithmetic progression
arithmetic progression First term = a and common difference = d
So
5th term = a + ( 5 - 1 ) d = a + 4d
8th term = a + ( 8 - 1 ) d = a + 7d
11th term = a + ( 11 - 1 ) d = a + 10d
So by the given condition
Also
Now 2 × Equation (2 ) - Equation (1 ) gives
From Equation (2)
First term = a = 2
Second Term = a + d = 2 + 3 = 5
Third Term = a + 2d = 8
Fourth term = a + 3d = 11
...........
Hence the arithmetic progression is
2 , 5 , 8, 11 , .....
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LEARN MORE FROM BRAINLY
The sum of the third and seventh term
of an AP is 40 and the sum sixth and
14th terms is 70 .Find the sum of first ten terms
brainly.in/question/22811954
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Answers & Comments
SOLUTION :
GIVEN
TO DETERMINE
The Arithmetic progression
FORMULA TO BE IMPLEMENTED
If in an arithmetic progression
First term = a and common difference = d
Then n th term of the AP is
EVALUATION
Let in the arithmetic progression
arithmetic progression First term = a and common difference = d
So
5th term = a + ( 5 - 1 ) d = a + 4d
8th term = a + ( 8 - 1 ) d = a + 7d
11th term = a + ( 11 - 1 ) d = a + 10d
So by the given condition
Also
Now 2 × Equation (2 ) - Equation (1 ) gives
From Equation (2)
So
First term = a = 2
Second Term = a + d = 2 + 3 = 5
Third Term = a + 2d = 8
Fourth term = a + 3d = 11
...........
Hence the arithmetic progression is
2 , 5 , 8, 11 , .....
━━━━━━━━━━━━━━━━
LEARN MORE FROM BRAINLY
The sum of the third and seventh term
of an AP is 40 and the sum sixth and
14th terms is 70 .Find the sum of first ten terms
brainly.in/question/22811954