मराठी

Which Term of the Ap ` 5/6 , 1 , 1 1/6 , 1 1/3` , ................ is 3 ? - Mathematics

Advertisements
Advertisements

प्रश्न

Which term of the AP ` 5/6 , 1 , 1 1/6 , 1 1/3` , ................ is 3 ?

Advertisements

उत्तर

In the given AP, first term =`5/6  "and common difference" , d = (1-5/6 = 1/6)`
Let its nth   term be 3.

Now, Tn = 3 

⇒ a + (n-1) d = 3 

⇒ `5/6 + (n-1) xx 1/6 = 3`

⇒`2/3 + n/6 =3`

⇒`n/6  = 7/3`

⇒ n= 14 

Hence, the 14th  term of the given AP is 3.

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 11: Arithmetic Progression - Exercises 1

APPEARS IN

आर. एस. अग्रवाल Mathematics [English] Class 10
पाठ 11 Arithmetic Progression
Exercises 1 | Q 12

संबंधित प्रश्‍न

Find the sum of all natural numbers between 250 and 1000 which are exactly divisible by 3


A small terrace at a football field comprises 15 steps, each of which is 50 m long and built of solid concrete. Each step has a rise of `1/4` m and a tread of `1/2` m (See figure). Calculate the total volume of concrete required to build the terrace.

[Hint: Volume of concrete required to build the first step = `1/4 xx 1/2 xx 50  m^3`]


In an A.P., if the 5th and 12th terms are 30 and 65 respectively, what is the sum of first 20 terms?


If the 8th term of an A.P. is 37 and the 15th term is 15 more than the 12th term, find the A.P. Also, find the sum of first 20 terms of A.P.


Which term of the AP 3,8, 13,18,…. Will be 55 more than its 20th term?


Write the next term for the AP` sqrt( 8),  sqrt(18), sqrt(32),.........`


In an A.P. 17th term is 7 more than its 10th term. Find the common difference.


Divide 207 in three parts, such that all parts are in A.P. and product of two smaller parts will be 4623.


If m times the mth term of an A.P. is eqaul to n times nth term then show that the (m + n)th term of the A.P. is zero.


Simplify `sqrt(50)`


The sum of the first n terms of an A.P. is 4n2 + 2n. Find the nth term of this A.P. 


The first and last term of an A.P. are a and l respectively. If S is the sum of all the terms of the A.P. and the common difference is given by \[\frac{l^2 - a^2}{k - (l + a)}\] , then k =

 

 


Q.6


In an A.P. sum of three consecutive terms is 27 and their products is 504. Find the terms. (Assume that three consecutive terms in an A.P. are a – d, a, a + d.)


Shubhankar invested in a national savings certificate scheme. In the first year he invested ₹ 500, in the second year ₹ 700, in the third year ₹ 900 and so on. Find the total amount that he invested in 12 years


The middle most term(s) of the AP: -11, -7, -3,.... 49 is ______.


If sum of first 6 terms of an AP is 36 and that of the first 16 terms is 256, find the sum of first 10 terms.


Find the sum of the integers between 100 and 200 that are not divisible by 9.


Find the sum of first 'n' even natural numbers.


An Arithmetic Progression (A.P.) has 3 as its first term. The sum of the first 8 terms is twice the sum of the first 5 terms. Find the common difference of the A.P.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×