# Find the value of 11^{th} term of an A.P.: 4,9,14,...

Answer

Verified

327.9k+ views

Hint: Since it is given that it is in A.P, start by finding the first term, common difference and form the equation of general term using these, after that put the value of n in the equation to obtain the answer.

Given series: $4,9,14,...$

Difference between the first and the second term is $5$, and the second and third term is also $5$.

Therefore, common difference in this series is $5$,

Now, applying the general term formula here,

We get,

${t_n} = 4 + \left( {n - 1} \right)5 = 5n - 1$

For $n = 11,{t_n} = 5\left( {11} \right) - 1 = 54$

Therefore,

Answer = 54

Note: In these questions, our first aim should be to form a generalized equation so that we can just put the value of the entity that is asked to get the answer.

Given series: $4,9,14,...$

Difference between the first and the second term is $5$, and the second and third term is also $5$.

Therefore, common difference in this series is $5$,

Now, applying the general term formula here,

We get,

${t_n} = 4 + \left( {n - 1} \right)5 = 5n - 1$

For $n = 11,{t_n} = 5\left( {11} \right) - 1 = 54$

Therefore,

Answer = 54

Note: In these questions, our first aim should be to form a generalized equation so that we can just put the value of the entity that is asked to get the answer.

Last updated date: 29th May 2023

•

Total views: 327.9k

•

Views today: 5.85k

Recently Updated Pages

If a spring has a period T and is cut into the n equal class 11 physics CBSE

A planet moves around the sun in nearly circular orbit class 11 physics CBSE

In any triangle AB2 BC4 CA3 and D is the midpoint of class 11 maths JEE_Main

In a Delta ABC 2asin dfracAB+C2 is equal to IIT Screening class 11 maths JEE_Main

If in aDelta ABCangle A 45circ angle C 60circ then class 11 maths JEE_Main

If in a triangle rmABC side a sqrt 3 + 1rmcm and angle class 11 maths JEE_Main

Trending doubts

Difference Between Plant Cell and Animal Cell

Write an application to the principal requesting five class 10 english CBSE

Ray optics is valid when characteristic dimensions class 12 physics CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Write the 6 fundamental rights of India and explain in detail

Write a letter to the principal requesting him to grant class 10 english CBSE

List out three methods of soil conservation

Fill in the blanks A 1 lakh ten thousand B 1 million class 9 maths CBSE

Epipetalous and syngenesious stamens occur in aSolanaceae class 11 biology CBSE