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 term is 20 and the common difference is - 5. The first term of the AP is | |||
Right Option : A | |||
View Explanation |
For an AP the term is 62 and the common difference is 3, the first term of the AP is ____________ | |||
Right Option : A | |||
View Explanation |
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