Algebra of Sequences

Q. Question 14
The famous mathematician associated with finding the sum of the first 100 natural numbers is

A) Pythagoras
B) Newton
C) Gauss
D) Euclid

Q.

Find the sum of n terms of the series (4- 1/n)+(4- 2/n ) + (4 - 3/n ) +.....

Q.

Find n and d where a=8 , a_n=62 , S_n=210.

Q. Is 68 a term of the AP 7, 10, 13, ...?

Q.

The algebra of an arithmetic sequence is 4n-1. Then the sequence is

1. 1, 3, 7, 11.....

2. 3, 7, 11, ......

3. 1, 4, 8, 12......

4. 4, 8, 12........

Q.

See the figures made with matchsticks:

The numbers of sticks needed for the next figure is

1. 16

2. 15

3. 19

4. 18

Q. Insert 3 A.Ms between 10 and-2. And also show that the sum of these A.Ms is 3 times the single arithmetic between 10 and-2

Q. How many characters (alphanumerals) are there in GSTIN?

1. 12
2. 15
3. 10
4. 16

Q. Arithmetic Progression is a sequence of numbers in which the difference between any two consecutive terms is constant.

1. False
2. True

Q. IF P1 AND P2 ARE THE TWO ODD PRIME NUMBERS SUCH THAT P1>P2, THEN P2/1-P2/2 IS

Q. find the geometric mean of first five terms of a geometric progression whose nth term is 2.3^n/5

Q.

If for an A.P. S_n=n²+7n what is its third term?

1. 12

2. 20

3. 15

4. 21

Q. 5, 5, 5, 5, 5, ... is an arithmetic progression.

1. True
2. False

Q.

If terms 9, x, 21 form an arithmetic progression, then the value of x is ____.

1. 11

2. 13

3. 17

4. 15

Q. What is the common difference, d of the arithmetic progression 0.1, 0.3, 0.5, 0.7...?

1. 0.1
2. 0.2
3. 0.3
4. 0.4

Q.

The pattern given below consists of four parts, choose the most appropriate option that can replace ‘?’ to complete the given figure.

1. a

2. b

3. c

4. d

Q.

If $2x,x+10,3x+2$ are in AP. Find the value of x.

1. 6

2. 12
3. $\sqrt{36}$
4. 3

Q.

In an AP given a=8, a_n=62, S_n=210, find n and d.

Q. The nth term of a sequence is (2n-3) , find its fifteenth term.

Q. Insert three arithmetics means between 4 and 12.

1. 7, 9, 11
2. 6, 8, 10
3. 4, 8, 12
4. 5, 8, 11

Q. Find the sum of all two digit number which when divides by 3 leaves 1 as reminder

Q.

Find the sum of the first $25$ terms of an AP, whose $n^{\mathrm{th}}$ term is given by $a_n=7-3n$.

Q. if the nth term of an AP is 6n-5 then find the sum of n terms of AP in terms of n

Q. Arithmetic Progression is a sequence of numbers in which the difference between any two consecutive terms is constant.

1. True
2. False

Q.

If terms 9, x, 21 form an arithmetic progression, then the value of x is ____.

1. 11

2. 13

3. 15

4. 17

Q.

What is the sum of 4 arithmetic means between 3 and 23?

Q. if nth term of an ap is (5n-2) find its first term and common difference. alao find its 19th term

Q. write the first 5 terms of the sequence whose nth term is n-2/3

Q. 1, 2, 3, 5, 7, 10, ... is an arithmetic progression.

1. True
2. False

Q. Write fourth term of an AP if its nth term is 3n+2