Choose the correct alternative answer for each of the following s…

MCQ

Choose the correct alternative answer for each of the following sub questions.
The sequence $ - 10, - 6, - 2, 2, . . .$

A
is an A.P., Reason $d = - 16$
✓
is an A.P., Reason $d = 4$
C
is an A.P., Reason $d = - 4$
D
is not an A.P.

✓

Answer

Correct option: B.

is an A.P., Reason $d = 4$

First term $a = -10$
Second term $t_1 = -6$
Third term $t_2 = -2$
Fourth term $t_3 = 2$
Common difference $d = t_1 - a = -6 - ( - 10) = - 6 + 10 = 4$
Common difference $d = t_2 - t_1 = - 2 -(-6) = - 2 + 6 = 4$
Common difference $d = t_3 - t_2 = 2 - (-2) = 2 + 2 = 4$
Since, the common difference is same.

$\therefore$ The given sequence is A.P. with common difference $d = 4$
Hence, correct answer is (B)

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Assertion and Reason Type
Each question consists of two statements, namely, Assertion $(A)$ and Reason $(R)$. For selecting the correct answer, use the following code:

Assertion $(A)$	Reason $(R)$
The curved surface area of a cone of base radius $3\ cm$ and height $4\ cm$ is $15\pi\text{cm}^2$	Volume of a cone $\pi\text{r}^2\text{h}$