Question

D
if i) -4 □, □, □, □,6
are in AP
then find
the missing
terms
in
the
boxes​

Answer 1

$\sf \huge \red {Question:-}$

☆ If -4, □, □, □, □,6 are in AP then find the missing terms in the boxes.

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$\sf \huge \red {Answer:-}$

$\sf ➝ -4, \boxed{-2}, \boxed{0}, \boxed{2}, \boxed{4}, 6$

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$\sf \huge \red {Explanation:-}$

➝ -4, □, □, □, □, 6

⠀ ⠀⠀ ⠀ ⠀⠀ ⠀

Here, a = -4

$\sf a_{6} = 6$

⠀ ⠀⠀ ⠀ ⠀⠀ ⠀

We know that,

$\sf a_{n} = a + (n-1)d$

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Therefore,

$\sf a_{6} = a + (6-1)d$

$\sf 6 = -4 + (6-1)d$

$\sf 6 = -4 + 5d$

$\sf 6 + 4 = 5d$

$\sf 10 = 5d$

$\sf \frac{\cancel{10}}{\cancel{5}} = d$

$\sf 2 = d$

$\boxed{\sf d = 2}$

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Hence, AP is a, a + d, a + 2d, a + 3d, a + 4d, a + 5d

⠀ ⠀⠀ ⠀ ⠀⠀ ⠀

➜ -4, -4 + 2, -4 + 2×2, -4 + 3×2, -4 + 4×4, -4 + 5×2

➜ -4, -2, -4 + 4, -4 + 6, -4 + 8, -4 + 10

➜ -4, -2, 0, 2, 4, 6