Question

In the following A.P., find the missing terms:
2, □, 26

Answer 1

Step-by-step explanation:

$\large{\boxed{\sf{\red{hope \: this \: will \: help \: you}}}} >$

please find the attachment

Answer 2

$\Large{\underline{\underline{\bf{Given:-}}}}$

$a_1 = 2$

$a_3 = 26$

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$\Large{\underline{\underline{\bf{To \: Find:-}}}}$

$a_2 \:= \:?$

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$\Large{\underline{\underline{\bf{Solution:-}}}}$

Let second term be 'n'

and 'd' is the common difference

${\bold{\underline{\underline{According \: to \: the \: Question:-}}}}$

$</p><p>d ⟹a_2 - a_1 = a_3 -. a_2$

$⟹n \: - 2 = 26 - n \\ \\⟹ n + n = 26 + 2 \\ \\⟹ 2n \: = 28 \\ \\⟹ n = \frac{28}{2} \\ \\ ⟹n = 14$

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${\bold{\underline{\underline{Therefore:-}}}}$

$\boxed{So, \:a_2 \: =\: 14}$

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$\Large{\underline{\underline{\bf{Thanks:-}}}}$