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Arithmetic Progressions — Maths STD 10 — Question

Maharashtra BoardEnglish MediumSTD 10MathsArithmetic Progressions3 Marks
Question
Which of the following sequences are arithmetic progressions. For those which are arithmetic progressions, find out the common difference.
$3, 6, 12, 24, .....$
✓

Answer

In the given problem, we are given various sequences.
We need to find out that the given sequences are an A.P. of not and then find its common difference $(d)$.
$3, 6, 12, 24, .....$
Here,
First term $(a) = 3$
$a_1 = 6$
$a_2 = 12$
Now, for the given to sequance to be an A.P,
Common difference $(d) = a_1 - a = a_2 - a_1$
Here,
$a_1 - a = 6 - 3$
$= 3$
Also,
$a_2 - a_1 = 12 - 6$
$= 6$
Since $\text{a}_1-\text{a}\neq\text{a}_2-\text{a}_1$
Hence, the given sequence is not an A.P.

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