Advertisements
Advertisements
Question
Write the next term of the AP `sqrt(2) , sqrt(8) , sqrt(18),.........`
Advertisements
Solution
The given AP is `sqrt(2) , sqrt(8) , sqrt(18) ,................`
On simplifying the terms, we get:
`sqrt (2) , 2 sqrt(2) , 3 sqrt(2) ,..................`
`Here , a= sqrt(2) and d = ( 2 sqrt(2) - sqrt(2)) = sqrt(2)`
∴ Next term `T_4 = a + 3d = sqrt(2) + 3 sqrt(2) = 4 sqrt(2) = sqrt(32)`
APPEARS IN
RELATED QUESTIONS
In an AP Given a12 = 37, d = 3, find a and S12.
Find the sum of first 51 terms of an AP whose second and third terms are 14 and 18 respectively.
Find the sum of the following arithmetic progressions:
3, 9/2, 6, 15/2, ... to 25 terms
In an A.P., if the 5th and 12th terms are 30 and 65 respectively, what is the sum of first 20 terms?
Which term of the AP ` 5/6 , 1 , 1 1/6 , 1 1/3` , ................ is 3 ?
How many numbers are there between 101 and 999, which are divisible by both 2 and 5?
In a flower bed, there are 43 rose plants in the first row, 41 in second, 39 in the third, and so on. There are 11 rose plants in the last row. How many rows are there in the flower bed?
The angles of quadrilateral are in whose AP common difference is 10° . Find the angles.
If 18, a, (b - 3) are in AP, then find the value of (2a – b)
What is the sum of first n terms of the AP a, 3a, 5a, …..
In an A.P. 17th term is 7 more than its 10th term. Find the common difference.
The first and the last terms of an A.P. are 8 and 350 respectively. If its common difference is 9, how many terms are there and what is their sum?
The sum of the first 7 terms of an A.P. is 63 and the sum of its next 7 terms is 161. Find the 28th term of this A.P.
A piece of equipment cost a certain factory Rs 60,000. If it depreciates in value, 15% the first, 13.5% the next year, 12% the third year, and so on. What will be its value at the end of 10 years, all percentages applying to the original cost?
Q.6
The 11th term and the 21st term of an A.P are 16 and 29 respectively, then find the first term, common difference and the 34th term.
In a ‘Mahila Bachat Gat’, Sharvari invested ₹ 2 on first day, ₹ 4 on second day and ₹ 6 on third day. If she saves like this, then what would be her total savings in the month of February 2010?
The sum of the first 2n terms of the AP: 2, 5, 8, …. is equal to sum of the first n terms of the AP: 57, 59, 61, … then n is equal to ______.
Jaspal Singh repays his total loan of Rs. 118000 by paying every month starting with the first instalment of Rs. 1000. If he increases the instalment by Rs. 100 every month, what amount will be paid by him in the 30th instalment? What amount of loan does he still have to pay after the 30th instalment?
The sum of 40 terms of the A.P. 7 + 10 + 13 + 16 + .......... is ______.
