Find The Value of Nth Term when Common Difference, Number of Terms and First Term are Given


 
 
Concept Explanation
 

Find The Value of Nth Term when Common Difference, Number of Terms and First Term are Given

Find The Value of Nth Term when Common Difference, Number of Terms and First Term are Given: To find the nth term we will use the formula for the nth term of an AP.

a_n=a+(n-1)d

Example:  Find the 10th term of the AP whose first term is 2 and the common difference is 6

Solution :    Here, a= 2, d= 6 and n= 10,

We have                large a_{n}=a+(n-1)d

So,                         dpi{120} large a_{10}=2+(10-1)times 6=2+54=56

Therefore , the 10th term of the given AP is 56.

Example: Rohan's father gave him a piggy bank with Rs 200 in it. Each day Rohan puts Rs 5 in it. What will be the amount in the piggy bank after 25 days.

Solution: a= Rs 200

                d= Rs 5

                n= 25

large a_{n}=a+(n-1)d

a_{25}=200+(25-1)times 5=200+120= 320 ;Rs

Sample Questions
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Question : 1

Two AP's 45, 41, 37, ______________ and 5, 9, 13, ____________ have their kth terms same. Find the value of k.

Right Option : A
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Explanation
Question : 2

The 40th term of the AP 2, 8, 14, 20, __________ is.

Right Option : D
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Explanation
Question : 3

For An AP the first term is -p and the common difference is q the 17^{th} term of the AP is ____________

Right Option : D
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Explanation
 
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