Question

Complete the series:-
10, 60, ___, 1560, 7810

a) 350
b) 320
c) 300
d) 310

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Answer 1

Answer:

A)350

Step-by-step explanation:

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Answer 2

Given that, There is a series given to us i.e 10, 60, ___, 1560, 7810.

❍ So, We've to find the missing number is in series.

⠀ ⠀Therefore, Let's find the pattern of the given series.

⠀━━━━━━━━━━━━━━━━━━━━⠀⠀⠀⠀

☆ The pattern of the series is,

• Multiply the below differences with '5'.

⠀⠀

❍ Let's consider the missng number be x.

$\begin{gathered}\qquad\bigstar\:{\underline{\pmb{\frak{\pink{According~to~the~Question~:}}}}}\\\\\\ \qquad\dashrightarrow\sf 7810 - 1560 = 6250\\\\\\ \qquad\dashrightarrow\sf 1560 - 310 = 1250\\\\\\ \qquad\dashrightarrow\sf x- 60 = 250\\\\\\ \qquad\dashrightarrow\sf 60 - 10 = 50 \end{gathered}$

☆ Let's solve the above equation,

$\begin{gathered} \\\qquad\dashrightarrow\sf x - 60 = 250\\\\\\ \qquad\dashrightarrow\sf x = 250 + 60\\\\\\ \qquad\dashrightarrow{\underline{\boxed{\pmb{\frak{x = 310}}}}}\:\bigstar\end{gathered}$

Therefore,

⠀

• Correct answer is Option D.

$\therefore\:{\underline{\sf{Hence,\:The \: missing\: number\: in \: the \: series \:is\:{\pmb{310}}\:\sf{respectively.}}}}$