Question

what is the common difference between successive terms in the sequence?

(0.36, 0.26, 0.16, 0.06, -0.04, -0.14, \dots)

-0.1
-0.01
0.01
0.1

Explanation:

Identify the terms of the sequence

$$ a_1 = 0.36,\quad a_2 = 0.26,\quad a_3 = 0.16 $$

Calculate the difference between successive terms

$$ d = a_2 - a_1 = 0.26 - 0.36 = -0.1 $$

Verify the difference with subsequent terms

$$
LATEXBLOCK0
$$

Answer:

• (A) \(-0.1\) (Correct answer)
• (B) \(-0.01\)
• (C) \(0.01\)
• (D) \(0.1\)