Answer

Verified

452.4k+ 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.

Recently Updated Pages

How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE

Why Are Noble Gases NonReactive class 11 chemistry CBSE

Let X and Y be the sets of all positive divisors of class 11 maths CBSE

Let x and y be 2 real numbers which satisfy the equations class 11 maths CBSE

Let x 4log 2sqrt 9k 1 + 7 and y dfrac132log 2sqrt5 class 11 maths CBSE

Let x22ax+b20 and x22bx+a20 be two equations Then the class 11 maths CBSE

Trending doubts

Guru Purnima speech in English in 100 words class 7 english CBSE

Which are the Top 10 Largest Countries of the World?

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Change the following sentences into negative and interrogative class 10 english CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

Select the word that is correctly spelled a Twelveth class 10 english CBSE