If A = left(frac{1}{0.4}right) + left(frac{1} | vedclass

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(C) The given series is $A = \frac{1}{0.4} + \frac{1}{0.04} + \frac{1}{0.004} + \dots$ up to $8$ terms.We can rewrite the terms as:$A = 2.5 + 25 + 250

Vedclass · Accepted Answer

$27777777$

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(C) The given series is $A = \frac{1}{0.4} + \frac{1}{0.04} + \frac{1}{0.004} + \dots$ up to $8$ terms.We can rewrite the terms as:$A = 2.5 + 25 + 250 + 2500 + \dots$ up to $8$ terms.This is a Geometric Progression $(GP)$ where the first term $a = 2.5$ and the common ratio $r = 10$.The sum of the first $n$ terms of a $GP$ is given by $S_n = \frac{a(r^n - 1)}{r - 1}$.Here,$n = 8$,$a = 2.5$,and $r = 10$.$A = \frac{2.5(10^8 - 1)}{10 - 1} = \frac{2.5(100000000 - 1)}{9} = \frac{2.5 	imes 99999999}{9}$.$A = 2.5 	imes 11111111 = 27777777.5$.

$4$	$16$	$48$	$120$	$272$
$124$	$(A)$	$(B)$	$(C)$	$(D)$	$(E)$

$2$	$3$	$8$	$27$
$5$	$(a)$	$(b)$	$(c)$	$(d)$	$(e)$

$80$	$50$	$130$	$100$	$180$	$150$	$230$
$900$	$(A)$	$(B)$	$(C)$	$(D)$	$(E)$

If $A = \left(\frac{1}{0.4}\right) + \left(\frac{1}{0.04}\right) + \left(\frac{1}{0.004}\right) + \dots$ up to $8$ terms,then what is the value of $A$ (in $.5$)?

Similar Questions

$4$ $16$ $48$ $120$ $272$
$124$ $(A)$ $(B)$ $(C)$ $(D)$ $(E)$

Which of the following numbers will come in place of $(C)$?

Find out the odd number from the given sequence: $1, 4, 25, 256, 3125, 46656, 823543$.

Find the odd man out:
$2, 10, 30, 70, 130$

$2$ $3$ $8$ $27$
$5$ $(a)$ $(b)$ $(c)$ $(d)$ $(e)$

Which of the following numbers will come in place of $(e)$?

$80$ $50$ $130$ $100$ $180$ $150$ $230$
$900$ $(A)$ $(B)$ $(C)$ $(D)$ $(E)$

Which of the following numbers will come in place of $(E)?$

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