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If the last term of A.P is 119 and the 8th term from the end is 91 then the common difference is?
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If the last term of A.P is 119 and the 8th term from the end is 91 the...
Given information:
- Last term of the AP = 119
- 8th term from the end = 91
Finding the common difference:
To find the common difference of an AP, we can use the formula:
An = A + (n-1)d
where,
An = nth term of the AP
A = first term of the AP
n = number of terms
d = common difference
Step 1: Finding the total number of terms:
Since the 8th term from the end is given as 91, we can say that the total number of terms is 8 + 1 = 9.
Step 2: Finding the first term:
The last term of the AP is 119. Using the formula, we can find the first term:
119 = A + (9-1)d
119 = A + 8d
Step 3: Finding the 8th term:
Now, we can use the given 8th term from the end to find the common difference:
91 = A + (8-1)d
91 = A + 7d
Step 4: Solving the equations:
We have two equations:
119 = A + 8d
91 = A + 7d
Subtracting the second equation from the first, we get:
(119 - 91) = (A + 8d) - (A + 7d)
28 = d
Therefore, the common difference of the AP is 28.
- Last term of the AP = 119
- 8th term from the end = 91
Finding the common difference:
To find the common difference of an AP, we can use the formula:
An = A + (n-1)d
where,
An = nth term of the AP
A = first term of the AP
n = number of terms
d = common difference
Step 1: Finding the total number of terms:
Since the 8th term from the end is given as 91, we can say that the total number of terms is 8 + 1 = 9.
Step 2: Finding the first term:
The last term of the AP is 119. Using the formula, we can find the first term:
119 = A + (9-1)d
119 = A + 8d
Step 3: Finding the 8th term:
Now, we can use the given 8th term from the end to find the common difference:
91 = A + (8-1)d
91 = A + 7d
Step 4: Solving the equations:
We have two equations:
119 = A + 8d
91 = A + 7d
Subtracting the second equation from the first, we get:
(119 - 91) = (A + 8d) - (A + 7d)
28 = d
Therefore, the common difference of the AP is 28.
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If the last term of A.P is 119 and the 8th term from the end is 91 then the common difference is?
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If the last term of A.P is 119 and the 8th term from the end is 91 then the common difference is? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If the last term of A.P is 119 and the 8th term from the end is 91 then the common difference is? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the last term of A.P is 119 and the 8th term from the end is 91 then the common difference is?.
If the last term of A.P is 119 and the 8th term from the end is 91 then the common difference is? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If the last term of A.P is 119 and the 8th term from the end is 91 then the common difference is? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the last term of A.P is 119 and the 8th term from the end is 91 then the common difference is?.
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