Arithmetic Progressions Test

Result

Arithmetic Progressions Test - 60

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Question 1
1 / -0

The first three terms of an $$AP$$ are $$57, 53$$ and $$49$$. Which of the following term will be its first negative term?

A
$$14th$$

B
$$15th$$

C
$$16th$$

D
None of these
Question 2
1 / -0

Check whether $$6$$ is a term of an $$AP$$ $$34, 30, 26, 22, 18, ...$$ or not?

A
Yes

B
No

C
Can't say anything

D
Nine of these

Solution
Question 3
1 / -0

Which of the following term of the arithmetic progression $$36, 33, 30, 27, ....$$ is $$0$$?

A
$$12th$$ term

B
$$13th$$ term

C
$$14th$$ term

D
$$15th$$ term

Solution
Question 4
1 / -0

For an $$AP,$$ if the sum of four consecutive terms is $$42,$$ and common difference is $$1.$$ Then its first term is

A
$$9$$

B
$$10$$

C
$$11$$

D
$$12$$

Solution
Question 5
1 / -0

The sum of three terms in an $$AP$$ is $$9$$ and sum of their squares is $$45.$$ Find the terms.

A
$$0, 3, 6$$

B
$$0, 4, 5$$

C
$$0, 2, 7$$

D
None of these

Solution
Question 6
1 / -0

If the sum and product of 3 consecutive terms of an $$AP$$ is $$12$$ and $$0$$ respectively, then what will be the terms?

A
$$2, 3, 7$$

B
$$1, 5, 7$$

C
$$0,4,8$$

D
None of these

Solution
Question 7
1 / -0

Which of the following pair of terms do you prefer if the sum of two consecutive terms of an $$AP$$ is given whose first term is $$a$$ and common difference is $$d$$?

A
$$a$$ and $$a+d$$

B
$$a$$ and $$a-d$$

C
$$a-d$$ and $$a+d$$

D
None of these

Solution
Question 8
1 / -0

It is given that the sum of four terms of an $$AP$$ is $$2$$ and their product is zero, then what will be the terms?

A
$$-1, 0, 1, 2$$

B
$$-2, 0, 2, 4$$

C
$$-2, -1, 0, 2$$

D
None of these

Solution
Question 9
1 / -0

Find the four consecutive terms of an $$AP$$ whose sum is $$12$$ and sum of $$2nd$$ and $$4th$$ term is $$8$$.

A
$$0, 2, 4, 6$$

B
$$0, 3, 5, 7$$

C
$$2, 4, 6, 7$$

D
None of these
Question 10
1 / -0

If $${ S }_{ 1 },{ S }_{ 2 },{ S }_{ 3 },.......,{ S }_{ r }$$ are the sums of first n terms of r arithmetic progression whose first terms are $$1,2,3......$$ and whose common differences are $$1,3,5,.......$$ respectively, then the value of $${ S }_{ 1 }+{ S }_{ 2 }+{ S }_{ 3 }+.......+{ S }_{ r }$$ is

A
$$\frac { (nr-1)(nr+1) }{ 2 } $$

B
$$\frac { (nr+1)nr }{ 2 } $$

C
$$\frac { (nr-1)nr }{ 2 } $$

D
$$\frac { n(nr+1) }{ 2 } $$