Find the next number in the following series : 1,2,6,30,210",? " (A) 1890 (B) 1640 (C) 2400 (D) 2310

Identify Pattern: We need to identify the pattern in the series. Let's look at the relationship between consecutive terms.Relationship Between Terms: The second number 2 is 1 multiplied by 2. The third number 6 is 2 multiplied by 3. The fourth number 30 is 6 multiplied by 5. The fifth number 210 is 30 multiplied by 7. It seems that each number is the product of the previous number and the next odd number.Calculate Next Number: To find the next number in the series, we should multiply the last number by the next odd number after 7, which is 9. So, the calculation is 210 * 9.Multiplication Calculation: Now, let's do the multiplication: 210 * 9 = 1890.Final Answer: The next number in the series is 1890, which corresponds to option (A).

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Find the next number in the following series : $\newline$ $1,2,6,30,210$ , $?$ $\newline$ (A) $1890$ $\newline$ (B) $1640$ $\newline$ (C) $2400$ $\newline$ (D) $2310$

View step-by-step help

Full solution

Q. Find the next number in the following series :

\newline

1,2,6,30,210

?

\newline

(A)

1890

\newline

(B)

1640

\newline

(C)

2400

\newline

(D)

2310

Identify Pattern: We need to identify the pattern in the series. Let's look at the relationship between consecutive terms.
Relationship Between Terms: The second number $2$ is $1$ multiplied by $2$ . The third number $6$ is $2$ multiplied by $3$ . The fourth number $30$ is $6$ multiplied by $5$ . The fifth number $210$ is $30$ multiplied by $1$ $1$ . It seems that each number is the product of the previous number and the next odd number.
Calculate Next Number: To find the next number in the series, we should multiply the last number by the next odd number after $7$ , which is $9$ . So, the calculation is $210 \times 9$ .
Multiplication Calculation: Now, let's do the multiplication: $210 \times 9 = 1890$ .
Final Answer: The next number in the series is $1890$ , which corresponds to option $(A)$ .