Find the missing number is the same rule is followed in all the three figures 7 12 21 5 16 28 12 missing number what is the missing number

Question

7.Find sum up to infinite terms of the series 1+ (3)/(5)+ (6)/(5^(2))+ (10)/(5^(3))+ (15)/(5^(4))+ (21)/(5^(5))+...... (a) (5)/(4) (b) (25)/(16) (c) (125)/(64) (d) (100)/(3)

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Answer 1

Let's see the pattern by dividing them in parts:

Part 1 -
7 + 5 = 12
12 + 9 = 21

Part 2-
5 + 11 = 16
16 + 12 = 28

We see here that in every part, the difference between the first and second numbers is rising by 6. Also, the difference between the second and third numbers is increasing by 6.

So by following the same pattern , we can find the missing number which is:
12 + 17 = 29

Hence, the missing number is 29.

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Find the missing number is the same rule is followed in all the three figures 7 12 21 5 16 28 12 missing number what is the missing number

Related Questions

7.Find sum up to infinite terms of the series 1+ (3)/(5)+ (6)/(5^(2))+ (10)/(5^(3))+ (15)/(5^(4))+ (21)/(5^(5))+...... (a) (5)/(4) (b) (25)/(16) (c) (125)/(64) (d) (100)/(3)

Find the least common multiple of 21 and 28 .

Question : The average of the first three numbers is double the fourth number. If the average of all the four numbers is 12. Find the 4th number.Option 1: $16$Option 2: $\frac{48}{7}$Option 3: $20$Option 4: $\frac{18}{7}$

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Question : The average of the first three numbers is double the fourth number. If the average of all the four numbers is 12. Find the 4th number.
Option 1: $16$
Option 2: $\frac{48}{7}$
Option 3: $20$
Option 4: $\frac{18}{7}$