Arithmetic Progression

Q.

Find the sum of first 30 terms of an A.P. whose second term is 2 and seventh term is 22.

1. 1720

2. 1600

3. 1680

4. 1640

Q.

A player has 20 coins at the beginning of the video game. To go to the next level, he needs to spend 4 coins and if he succeeds the particular level, he earns 6 coins. Find the player's coins after clearing each level (assuming he clears every level).

1. 20, 22, 24, 26, 28………

2. 20, 25, 30, 35, 36………

3. 20, 24, 28, 30, 34………

4. 20, 26, 32, 38, 44………

Q. The sum of the first 3 terms in an AP is 51 and that of the last 3 is 99. If the AP has 11 terms, help Joe find the first number of the series.

1. 17
2. 39
3. 15
4. 2

Q.

Does the sequence of odd numbers form an AP?

1. No

2. Yes, with a common difference of 1.

3. Yes, with a common difference of 2.

4. Yes, with a common difference of -1.

Q.

If $a,b,c$ are in AP; then $\frac{1}{bc},\frac{1}{ca}and\frac{1}{ab}$ are in AP.

1. True

2. False

Q. THE VALUE OF \sqrt{248+\sqrt{52+\sqrt{144 IS}

Q. If the ordered triplets of real numbers(x, y, z) satisfy \sqrt{x-y+z} = \sqrt x-\sqrt y+\sqrt z , x+y+z=8 and x-y+z=4 then find xyz.

Q.

The series 2, 6... to n terms an AP.
State whether true or false.

1. Yes

2. No

Q. WHAT IS THE FOURTH ROOT OF 124-32\sqrt{15} ?

Q. Which of the given conditions holds true for p, q, r, s to be the terms of an arithmetic progression.

1. p - q = s - r
2. p + q + r + s = 0
3. p + q = r + s
4. q - p = s - r

Q. If the replacement set is a set of natural numbers then find the sum of elements of solution set of 12 - 4x ≥ -9

1. 6
2. 15
3. 3
4. 10

Q.

Find the difference between $4^5$ and $5^4$? [2 MARKS]

Q. $\text{Find the sum of integers from 1 to 100 which are divisible by 2 or 5.}$
[4 marks]

Q. Babubhai borrows Rs. $4000$ and agrees to repay with a total interest of Rs. $500$ in $10$ installations, each instalment being less than the preceding instalment by Rs. $10$. What should be the first and last installment?

Q.

Describe the first term in an arithmetic sequence

Q. Which of the following expressions has a error in it ?

1. $5x-20=5(x-20)$
2. $4x^2+5x=x(4x+5)$
3. $6x^2+9=3(2x^2+3)$
4. $6x+2y=2(3x+y)$

Q. The sum of 3 consecutive even numbers is 72. Find the number.

Q. Solve: $p^2+6p-16$

Q. Find the value of x:

(a) 9x+6=8-2x
(b) 2x-1=14-x
$\left(c\right)2x+\frac{5}{3}=\frac{26}{3}-x$

Q. Is 3 / 4 divided by bracket 6 / 13 divided by 4 /15 bracket close = bracket 3 / 4 divided by -6 /13 bracket close divide by 4 x 15 are these equal

Q. Write the following using literals, numbers and signs of basic operations:
I) The product of x and y added to their sum
II) 5 times b added to 3 times c
III) Twice x added to y square.

Q. Find the missing term in the given sequence 2, 1, 1, 2, 7, ?

Q. Find the missing term to complete the sequence.
1, 4, 9, 16, ?, 36
(1) 35 (2) 20
(3) 25 (4) 31

Q. solve the equation using identity [x+a] [x+b].
question
​1.[4x-5][4x-5]