Find The Value of First Term when Nth Term, Number of Terms and Common Difference are Given
Find The Value of First Term when Nth Term, Number of Terms and Common Difference are Given
Find The Value of First Term When Nth Term, N and the Commom Difference Is Given.: We will use the formula for the general term. Putting the value of n , d and Nth Term we will find a.
Example: Find the Value of the first term when common diffrenece is 10 and the 11th term of the AP is 275.
Solution : Here, d= 10, n= 11 and
We have
So,
275 = a+10 X 10
275 = a +100
a = 175
Therefore , the First Term a= 175.
Example: A manufacturer install a machine at certain amount. At the end of 9 years the machine has a value of Rs 5000. If the annual depreciation has been constant for Rs 300. Find amount of machine at the begining.
Solution: a= ?
d= -300 [As the annual depreciation has been constant for Rs 300]
n= 9
5000 = a + (9-1) (-300)
5000 = a -2400
a= 7400 Rs.
The amount of machine at the begining = 7400 Rs.
For an AP, the 7th term is 40 and the common difference is 6. The first term of the AP is ________________ | |||
| Right Option : B | |||
| View Explanation | |||
For an AP, the | |||
| Right Option : A | |||
| View Explanation | |||
For an AP the | |||
| Right Option : A | |||
| View Explanation | |||
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