English

If 4/5 , a , 2 are in AP, find the value of a. - Mathematics

Advertisements
Advertisements

Question

If `4/5 `, a, 2 are in AP, find the value of a.

Sum
Advertisements

Solution

Rearrange the equation to solve for a:

`2a = 2 + 4/5`

`2a = 10/5 + 4/5`

`2a = 14/5`

`a = 14/10`

`a = 7/5`

shaalaa.com
  Is there an error in this question or solution?
Chapter 11: Arithmetic Progression - Exercises 3

APPEARS IN

R.S. Aggarwal Mathematics [English] Class 10
Chapter 11 Arithmetic Progression
Exercises 3 | Q 20

RELATED QUESTIONS

How many terms of the series 54, 51, 48, …. be taken so that their sum is 513 ? Explain the double answer


Find the sum of first 15 multiples of 8.


A ladder has rungs 25 cm apart. (See figure). The rungs decrease uniformly in length from 45 cm at the bottom to 25 cm at the top. If the top and bottom rungs are 2 `1/2` m apart, what is the length of the wood required for the rungs?

[Hint: number of rungs = `250/25+ 1`]


Find the sum of the first 15 terms of each of the following sequences having the nth term as

`a_n = 3 + 4n`


If the numbers (2n – 1), (3n+2) and (6n -1) are in AP, find the value of n and the numbers


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


Write an A.P. whose first term is a and common difference is d in  the following.

a = 6, d = –3 


Find the first term and common difference for the following A.P.:

5, 1, –3, –7, ...


The sequence −10, −6, −2, 2, ... is ______.


Find where 0 (zero) is a term of the A.P. 40, 37, 34, 31, ..... .

 

Find the sum \[7 + 10\frac{1}{2} + 14 + . . . + 84\]

 


Find the sum of n terms of the series \[\left( 4 - \frac{1}{n} \right) + \left( 4 - \frac{2}{n} \right) + \left( 4 - \frac{3}{n} \right) + . . . . . . . . . .\]


If the sum of first n terms of an A.P. is  \[\frac{1}{2}\] (3n2 + 7n), then find its nth term. Hence write its 20th term.

 
 

A man is employed to count Rs 10710. He counts at the rate of Rs 180 per minute for half an hour. After this he counts at the rate of Rs 3 less every minute than the preceding minute. Find the time taken by him to count the entire amount.


Write the value of x for which 2xx + 10 and 3x + 2 are in A.P.

 

If the sum of n terms of an A.P. is Sn = 3n2 + 5n. Write its common difference.

 

Write the nth term of the \[A . P . \frac{1}{m}, \frac{1 + m}{m}, \frac{1 + 2m}{m}, . . . .\]

 

If Sn denote the sum of the first terms of an A.P. If S2n = 3Sn, then S3n : Sn is equal to


In a Arithmetic Progression (A.P.) the fourth and sixth terms are 8 and 14 respectively. Find that:
(i) first term
(ii) common difference
(iii) sum of the first 20 terms. 


Determine the sum of first 100 terms of given A.P. 12, 14, 16, 18, 20, ......

Activity :- Here, a = 12, d = `square`, n = 100, S100 = ?

Sn = `"n"/2 [square + ("n" - 1)"d"]`

S100 = `square/2 [24 + (100 - 1)"d"]`

= `50(24 + square)`

= `square`

= `square`


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×