1, 3, 6, 10, 3, 9, 4, 12, 9, 7, ?, ?

# Series

## Number Puzzle #68, 1, 10, 30, ?, 130

Number Puzzle #68

Check your answer:-

Click here to See Solution

Actually this is a GP with first element as 1 and variable factor. where the factor comes from this series

1, 3, 7, 13.

Tn = Tn-1 + 2^(n-1);

T1 = 1;

T2 = T1 + 2^(2-1)= 1 + 2 = 3;

T3 = T2 + 2^(3-1) = 3 + 4 = 7;

T4 = T3 + 2^(4-1) = 7 + 6 = 13

nth number in GP = first number * (10)(Tn-1 in series);

First Element in GP = 1;

Second Element in GP(i.e. n = 2) = 1*10*(T1 in series); = 10

Third element in GP(i.e. n =3) = 1*10*(T2 in series) = 1*10*3 = 30

Fourth element in GP (i.e. n =4) = 1*10*(T3 in series) = 1*10*7 = 70

Fifth element in GP (i.e. n =5) = 1*10*(T4 in series) = 1*10*13 = 130

Thus the missing number here is 70.

## 10,20,74,100 what will be the next number

## Number Puzzle #62

10,20,74,100. What will be the next number in the series?

Check your answer:-

Click here to See SolutionExplanation:-

Natural number starts with 1,2,3,4,5,6……….

This series is derived by adding 2 consecutive odd Natural Numbers and even natural numbers

first 2 odd natural numbers are 1 and 3 = i.e. square of 1 + square of 3 = gives 10 ( first number)

first 2 even natural numbers are 2 and 4 = Square of 2 + square of 4 = gives 20 ( second number)

second 2 odd natural numbers are 5 and 7 = gives 74 (third number)

second 2 even natural numbers are 6 and 8 = gives 100 ( fourth number)

third 2 odd natural numbers are 9 and 11 which gives 202 ( 5 th number)

Answered by : Vishal Vinchankar

## What is the missing number in sequence

Check your answer:-

**How?**

Here Tn = n^n;

thus T4 = 4^4 = 256;

## Missing numbers in series

Find the missing numbers in this series: 4, 10, 22, 46, _____, _____, 382

See Answer

#### Missing numbers in the series are: 94 and 190.

**How ?**

Every number in the series is following this pattern

Next number = (previous number)*2 + 2;

## What is the next number in sequence? #54

See Answer

Next number in the series will be

**3263442**.

**How?**

every number in the sequence= (previous number)x(previous number +1)

thus next number in this sequence will be 1806*1807 = 3263442.

## Next number in series? #51

See Solution

Next number in the series will be 13.

**How?**

every number in this series is sum of previous two numbers, thus the next number should be 5 + 8 = 13.

This classic and very important series is called Fibonacci series.

## What is the next number in series? #50

See Solution

How?

its WELCOME, where each letter is replaced by its sequence number in the english alphabets.

## Missing number in series #45

### What is the missing number in this series

1,16,36,__,81,100,144

See Solution^{2}, 4

^{2}, 6

^{2}, 8

^{2}, 9

^{2}, 10

^{2}, 12

^{2}. these are square in sequence excluding the prime numbers 2,3,5,7 and 11. Thus the missing number in series should be 8

^{2}=64.