Advertisements
Advertisements
प्रश्न
Complete the following activity to find the 19th term of an A.P. 7, 13, 19, 25, ........ :
Activity:
Given A.P. : 7, 13, 19, 25, ..........
Here first term a = 7; t19 = ?
tn + a + `(square)`d .........(formula)
∴ t19 = 7 + (19 – 1) `square`
∴ t19 = 7 + `square`
∴ t19 = `square`
उत्तर
Given, A.P. : 7, 13, 19, 25, ..........
Here, first term a = 7; t19 = ?
tn + a + (n – 1)d .........(formula)
∴ t19 = 7 + (19 – 1)6
∴ t19 = 7 + 108
∴ t19 = 115
APPEARS IN
संबंधित प्रश्न
If the sum of first 7 terms of an A.P. is 49 and that of its first 17 terms is 289, find the sum of first n terms of the A.P.
Find the sum of the following APs.
`1/15, 1/12, 1/10`, ......, to 11 terms.
Find the sum of first 51 terms of an AP whose second and third terms are 14 and 18 respectively.
Show that a1, a2,..., an... form an AP where an is defined as below:
an = 3 + 4n
Also, find the sum of the first 15 terms.
Find the sum of first n odd natural numbers
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),.........`
There are 25 rows of seats in an auditorium. The first row is of 20 seats, the second of 22 seats, the third of 24 seats, and so on. How many chairs are there in the 21st row ?
The sum of first n terms of an A.P. is 3n2 + 4n. Find the 25th 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?
For what value of p are 2p + 1, 13, 5p − 3 are three consecutive terms of an A.P.?
Q.15
In an A.P., the sum of its first n terms is 6n – n². Find is 25th term.
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 sum of first 16 terms of the AP: 10, 6, 2,... is ______.
The students of a school decided to beautify the school on the Annual Day by fixing colourful flags on the straight passage of the school. They have 27 flags to be fixed at intervals of every 2 m. The flags are stored at the position of the middle most flag. Ruchi was given the responsibility of placing the flags. Ruchi kept her books where the flags were stored. She could carry only one flag at a time. How much distance did she cover in completing this job and returning back to collect her books? What is the maximum distance she travelled carrying a flag?
Sum of 1 to n natural number is 45, then find the value of n.
The nth term of an Arithmetic Progression (A.P.) is given by the relation Tn = 6(7 – n)..
Find:
- its first term and common difference
- sum of its first 25 terms