Question

If a =14 and a12 = 124 , the value of d is ?

Answer 1

$\boxed{ \huge\boxed{ \text{Value \ of \ \blue{d}} = \red{ \tt10}}}$

☛ Refer to the attchement for brief solution.

☆☆ Something Informative ⤵

• An AP, Arithmetic Progression is a sequence of numbers with equal difference among each other.
• That equal measured difference is known as Common Difference & denoted by d.
• The first term of an AP is a or $\rm a_{ \tiny{1}}$ & last term is $\bf{l}$ or $\rm a_{ \tiny{n}}$.
• For finding d of any AP, we should subtract any two consecutive terms.

$\large \bigstar \: \: \rm Important \: \: Formulae :$

• $\rm{}a_{ \tiny{n}} = a + (n - 1)d$

• $\rm{}d = \frac{a_{ \tiny{n}} - a}{n - 1}$

• $\rm a =a_{ \tiny{n}} - (n - 1)d$

• $\rm n = \frac{a_{ \tiny{n}} - a}{d} + 1$