Math, asked by navyathota195, 4 months ago

Q 29 Find the missing term in the series given below.
9, 50, 147, 2, 605, 1014
/
Ops: A.
0
324
B.
O 225
C. O 576
D. 0196​

Answers

Answered by jarihant30
3

Answer:

324 is the Answer

Step-by-step explanation:

9= 3*3

50= 5*10

147 = 7*21

__= 9*__ ( 9 will come as it is forming a ap with CD 2)

605= 11*55

1014 = 13*78

The difference of Second term is also forming a AP.

I. e. the difference of the terms 3,10,21, __, 55,78

the difference is 7,11,_,_,23. it is forming a AP of CD of 4. Thus the missing term is 15,19.

so, in the missing term is 36.

so the answer is 9*36= 324

Answered by hukam0685
0

Missing number is 324.

Option 'A' is correct.

Given:

  • 9, \: 50 ,\: 147, \:  ?,\: 605, \: 1014 \\

To find:

  • Find the missing term of the series.
  • A. 324
  • B. 225
  • C.576
  • D. 1096

Solution:

Step 1:

Analyze the pattern.

On observing the series carefully,

9 =  {3}^{2}  \times 1 \\

50 =  {5}^{2}  \times 2 \\

147 =  {7}^{2}  \times 3 \\

It is clear that,

Numbers are generated by squaring the consecutive odd numbers by consecutive natural numbers.

Similarly,

605 =  {11}^{2}  \times 5 \\

1014 =  {13}^{2}  \times 6 \\

Step 2:

Find the missing term.

The odd number 9 and natural number 4 was missing in the series .

So, Missing number will generate by squaring 9 and multiply by 4.

\bf =  {9}^{2}  \times 4 \\

 = 81 \times 4 \\

 \bf = 324 \\

Thus,

Missing number is 324.

Option 'A' is correct.

Learn more:

1) Q20. Find the missing term in the series given below.

12,4 14,7,17,10,?, 13,29

https://brainly.in/question/41603655

2) 28 62 100 134 172 ____ 244 278

MISSING NUMBER!

https://brainly.in/question/19933518

#SPJ2

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