Advertisements
Advertisements
प्रश्न
Choose the correct alternative answer for the following question .
If for any A.P. d = 5 then t18 – t13 = ....
पर्याय
5
20
25
30
Advertisements
उत्तर
It is given that,
d = 5
Now,
\[t_n = a + \left( n - 1 \right)d\]
\[ t_{18} - t_{13} = \left( a + \left( 18 - 1 \right)d \right) - \left( a + \left( 13 - 1 \right)d \right)\]
\[ = \left( a + 17d \right) - \left( a + 12d \right)\]
\[ = 5d\]
\[ = 5\left( 5 \right)\]
\[ = 25\]
APPEARS IN
संबंधित प्रश्न
Find the sum of first 20 terms of the following A.P. : 1, 4, 7, 10, ........
Find the sum of all natural numbers between 250 and 1000 which are exactly divisible by 3
Show that a1, a2,..., an... form an AP where an is defined as below:
an = 9 − 5n
Also, find the sum of the first 15 terms.
Find how many integers between 200 and 500 are divisible by 8.
Find the four numbers in A.P., whose sum is 50 and in which the greatest number is 4 times the least.
The first term of an A.P. is 5, the last term is 45 and the sum of its terms is 1000. Find the number of terms and the common difference of the A.P.
Is 184 a term of the AP 3, 7, 11, 15, ….?
How many three-digit numbers are divisible by 9?
What is the sum of first n terms of the AP a, 3a, 5a, …..
How many terms of the A.P. 21, 18, 15, … must be added to get the sum 0?
In an A.P. 19th term is 52 and 38th term is 128, find sum of first 56 terms.
Kargil’s temperature was recorded in a week from Monday to Saturday. All readings were in A.P. The sum of temperatures of Monday and Saturday was 5°C more than sum of temperatures of Tuesday and Saturday. If temperature of Wednesday was –30° celsius then find the temperature on the other five days.
The first term of an A. P. is 5 and the common difference is 4. Complete the following activity and find the sum of the first 12 terms of the A. P.
a = 5, d = 4, s12 = ?
`s_n = n/2 [ square ]`
`s_12 = 12/2 [10 +square]`
`= 6 × square `
` =square`
Find the sum of n terms of the series \[\left( 4 - \frac{1}{n} \right) + \left( 4 - \frac{2}{n} \right) + \left( 4 - \frac{3}{n} \right) + . . . . . . . . . .\]
In an A.P., the first term is 22, nth term is −11 and the sum to first n terms is 66. Find n and d, the common difference
Obtain the sum of the first 56 terms of an A.P. whose 18th and 39th terms are 52 and 148 respectively.
Find whether 55 is a term of the A.P. 7, 10, 13,... or not. If yes, find which term is it.
If the nth term of an AP is (2n +1), then the sum of its first three terms is ______.
Find the sum of those integers from 1 to 500 which are multiples of 2 or 5.
[Hint (iii) : These numbers will be : multiples of 2 + multiples of 5 – multiples of 2 as well as of 5]
In the month of April to June 2022, the exports of passenger cars from India increased by 26% in the corresponding quarter of 2021-22, as per a report. A car manufacturing company planned to produce 1800 cars in 4th year and 2600 cars in 8th year. Assuming that the production increases uniformly by a fixed number every year.![]() |
Based on the above information answer the following questions.
- Find the production in the 1st year
- Find the production in the 12th year.
- Find the total production in first 10 years.
[OR]
In how many years will the total production reach 31200 cars?

