Advertisements
Advertisements
प्रश्न
Choose the correct alternative answer for the following question.
For an given A.P. a = 3.5, d = 0, n = 101, then tn = ....
विकल्प
0
3.5
103.5
104.5
Advertisements
उत्तर
3.5
Explanation:
a = 3.5, d = 0, tn = t101
tn = a + (n − 1)d
t101 = 3.5 + (101 − 1)0
= 3.5 + 100 (0)
= 3.5 + 0
= 3.5
APPEARS IN
संबंधित प्रश्न
In an A.P., if S5 + S7 = 167 and S10=235, then find the A.P., where Sn denotes the sum of its first n terms.
How many terms of the A.P. 18, 16, 14, .... be taken so that their sum is zero?
If the sum of the first n terms of an A.P. is `1/2`(3n2 +7n), then find its nth term. Hence write its 20th term.
If the term of m terms of an A.P. is the same as the sum of its n terms, show that the sum of its (m + n) terms is zero
Find the sum of the following APs.
0.6, 1.7, 2.8, …….., to 100 terms.
Find the sum given below:
`7 + 10 1/2 + 14 + ... + 84`
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`]
Find the sum of the first 25 terms of an A.P. whose nth term is given by an = 7 − 3n
Find the sum 3 + 11 + 19 + ... + 803
How many two-digits numbers are divisible by 3?
If the numbers a, 9, b, 25 from an AP, find a and b.
The sum of the first n terms of an AP is (3n2+6n) . Find the nth term and the 15th term of this AP.
If first term of an A.P. is a, second term is b and last term is c, then show that sum of all terms is \[\frac{\left( a + c \right) \left( b + c - 2a \right)}{2\left( b - a \right)}\].
If the sum of first p term of an A.P. is ap2 + bp, find its common difference.
The number of terms of the A.P. 3, 7, 11, 15, ... to be taken so that the sum is 406 is
Q.17
The first term of an AP is –5 and the last term is 45. If the sum of the terms of the AP is 120, then find the number of terms and the common difference.
Kanika was given her pocket money on Jan 1st, 2008. She puts Rs 1 on Day 1, Rs 2 on Day 2, Rs 3 on Day 3, and continued doing so till the end of the month, from this money into her piggy bank. She also spent Rs 204 of her pocket money, and found that at the end of the month she still had Rs 100 with her. How much was her pocket money for the month?
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?
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?
