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Question

(B) The given series is an arithmetic progression with the first term $a = 10$ and common difference $d = 7$.The general term of the series is given b

Vedclass · Accepted Answer

$346$

Vedclass · Answer

(B) The given series is an arithmetic progression with the first term $a = 10$ and common difference $d = 7$.The general term of the series is given by $T_n = a + (n - 1)d = 10 + (n - 1)7 = 7n + 3$.This means any number in the series must satisfy the form $7n + 3$,which is equivalent to saying that when the number is divided by $7$,the remainder is $3$.Let us check the options:$A) 48 = 7 	imes 6 + 6$ (Remainder $6$)$B) 346 = 7 	imes 49 + 3$ (Remainder $3$)$C) 574 = 7 	imes 82 + 0$ (Remainder $0$)$D) 1003 = 7 	imes 143 + 2$ (Remainder $2$)Thus,$346$ is the only number that belongs to the series.

Fill in the blank space for the given series with the correct alternative.
In the series $10, 17, 24, 31, 38, \ldots$,which of the following will be a number of the series?

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Fill in the blank space for the given series with the correct alternative.In the series $10, 17, 24, 31, 38, \ldots$,which of the following will be a number of the series?