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

Which of the following numbers is the 15th term of an AP 50, 70, 90, 110, __________?

Right Option : B
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Explanation
Question : 2

The value of the 20th term for the AP series large 10,10frac{1}{3},10frac{2}{3},11,11frac{1}{3}, ________________ is 

Right Option : A
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Explanation
Question : 3

For an AP, the first term is 2r and the common difference is 3t. The 11^t^h term of the AP is ________________

Right Option : B
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Explanation
 
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