Question

Insert the missing number 857, 969, 745, 1193, ? a) 2093 c) 297 b) 1400 d) 2089

Answer 1

the exact answer is 1400

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hope it helps

Answer 2

The missing number 857, 969, 745, 1193,-- is 297 and option(c) is correct.

Step-by-step explanation:

Given:

857, 969, 745, 1193,--.

To Find:

The missing number 857, 969, 745, 1193,--.

Solution:

As given,857, 969, 745, 1193,--.

The 1st term ,2nd term ,3rd term,4th term 5th term are ,857, 969, 745, 1193 and p.

p is missing term which is to find out.

The difference between 2nd term  and 1st term $=969-857=112$.

The difference between 3rd term  and 2nd term $=745-969=-224$

The difference between 4th  term  and 3rd term$=1193-745 =448$

It can observed the difference between 3rd term  and 2nd term is (- double) of  difference between 2nd term  and 1st term .

the difference between 4th  term  and 3rd term  is( +double) of the difference between 3rd term  and 2nd term

The difference between 5th th  term  $= 4th\ term -2\times 448.$

$=1193-2\times 448$

$=1193-896=297$

Thus,The missing number 857, 969, 745, 1193,-- is 297 and option(c) is correct.

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