Assertion - Common difference of the AP -5-1- 3-7- - is 4 -Reason - Common difference of the AP a- a-d- a-2 d - - is given by d-a2-a1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

nth Term of an AP

Assertion : C...

Question

Assertion : Common difference of the AP $- 5, - 1$ , $3, 7, \dots \dots \dots$ is 4 .
Reason : Common difference of the AP $a, a + d, a + 2 d \dots \dots \dots .$ . is given by $d = a_{2} - a_{1}$

Aasertion

(A)

is false but reason

(R)

is true.

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Both aasertion

(A)

and reason

(R)

are true but reason

(R)

is not the correct explanation of asaertion (A).

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Both assertion

(A)

and reason

(R)

are true and reason

(R)

is the correct explanation of asaertion (A)

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Aasertion

(A)

is true but reason

(R)

is false.

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C Both assertion $(A)$ and reason $(R)$ are true and reason $(R)$ is the correct explanation of asaertion (A)
Common difference, $d = - 1 - (- 5) = 4$
So, both $A$ and $R$ are correot and $R$ explaina
A.
Thus (a) is correct option.

Suggest Corrections

Similar questions

Q. Show that each of the progressions given below is an AP. Find the first term, common difference and next term of each.

(i) 9, 15, 21, 27, ...
(ii) 11, 6, 1, −4, ...
(iii) −1,

\frac{- 5}{6}

\frac{- 2}{3}

\frac{- 1}{2}

, ...
(iv)

\sqrt{2}, \sqrt{8}, \sqrt{18}, \sqrt{32}, . . .

(v)

\sqrt{20}, \sqrt{45}, \sqrt{80}, \sqrt{125}, . . .

Q. Assertion : Sum of first 10 terma of the arithmetio progreasion

- 0.5, - 1.0, - 1.5, \dots \dots \dots

is 31 .
Reason : Sum of

n

terma of an AP is given aa

S_{n} = \frac{n}{2} [2 a + (n - 1) d]

where

a

is firat term and

d

common difference.

Find the common difference of the given AP: $\frac{3}{4}, 1, 1 \frac{1}{4}$ .........

Q. Question 4 (xi)
Which of the following are APs? If they form an A.P. find the common difference d and write three more terms.
(xi)

a, a^{2}, a^{3}, a^{4} \dots \dots

Q. For the AP :

\frac{1}{4}, \frac{- 1}{4}, \frac{- 3}{4}, \frac{- 5}{4} \dots \dots

, write the first term

a

and the common difference

d

. And find the

7^{th}

term.

Join BYJU'S Learning Program

Assertion : Common difference of the AP −5,−1, 3,7,……… is 4 . Reason : Common difference of the AP a,a+d,a+2d……….. is given by d=a2−a1

The correct option is C Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of asaertion (A)Common difference, d=−1−(−5)=4 So, both A and R are correot and R explaina A. Thus (a) is correct option.

Assertion : Common difference of the AP $- 5, - 1$ , $3, 7, \dots \dots \dots$ is 4 .
Reason : Common difference of the AP $a, a + d, a + 2 d \dots \dots \dots .$ . is given by $d = a_{2} - a_{1}$

The correct option is C Both assertion $(A)$ and reason $(R)$ are true and reason $(R)$ is the correct explanation of asaertion (A)
Common difference, $d = - 1 - (- 5) = 4$
So, both $A$ and $R$ are correot and $R$ explaina
A.
Thus (a) is correct option.