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 : C | |||
| View Explanation | |||
For an AP, the | |||
| Right Option : A | |||
| View Explanation | |||
Students / Parents Reviews [20]
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Om Umang
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Manish Kumar
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Ayan Ghosh
8thAbhyas institute is one of the best coaching institute in the vicinity of Ambala Cantt area. The teachers of the institute are well experienced and very helpful in solving the problems of the students.The good thing of the institute is that it is providing extra classes for the students who are w...
Aman Kumar Shrivastava
10thI have spent a wonderful time in Abhyas academy. It has made my reasoning more apt, English more stronger and Maths an interesting subject for me. It has given me a habbit of self studying
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Barkha Arora
10thAbhyas institute is one of the best coaching institute in the vicinity of Ambala cantt.The institute provides good and quality education to the students.The teachers are well experienced and are very helpful in solving the problems. The major advantages of the institute is extra classes for weak...
