Write the arithmetic progression when first term a and common dif…

Question

Write the arithmetic progression when first term a and common difference d are as following:
$\text{a}=-1,\text{d}=\frac{1}{2}$

✓

Answer

$\text{a}=-1,\text{d}=\frac{1}{2}$
Now, as $a = -1$
A.P. would be represented by $a, a_1, a_2, a_3, a_4, .....$
So,
$a_1 = a + d$
$\text{a}_1=-1+\Big(\frac{1}{2}\Big)$
$\text{a}_1=\frac{-2+1}{2}$
$\text{a}_1=\frac{-1}{2}$
Similarly.
$a_2 = a_1 + d$
$\text{a}_2=\frac{-1}{2}+\Big(\frac{1}{2}\Big)$
$a_2 = 0$
Also,
$a_3 = a_2 + d$
$\text{a}_3=0+\Big(\frac{1}{2}\Big)$
$\text{a}_3=\frac{1}{2}$
Further,
$a_4 = a_3 + d$
$\text{a}_4=\Big(\frac{1}{2}\Big)+\Big(\frac{1}{2}\Big)$
$\text{a}_4=\frac{2}{2}$
$\text{a}_4=1$
Therefore, A.P. with $a = -1$ and $\text{d}=\frac{1}{2}$ is $-1,\frac{-1}{2},0,\frac{1}{2},1\ .....$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "3 Marks Question" from Arithmetic Progressions→Arithmetic Progressions — all question types→Maths STD 10 question papers→Maharashtra Board STD 10 question papers→Maharashtra Board question paper generator→

Arithmetic Progressions — Maths STD 10 — Question

Answer

Need a full question paper?

Explore more

Similar questions