Question

864,420___92,40,16,6​

Answer 1

Answer:

a3=a+2d

a3=864+2(420-864)

a3=864+2(-444)

a3=864-888

a3=-14

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Answer 2

ANSWER:  

The missing number in 864,420___92,40,16,6 is 200.

SOLUTION:

Given, series is 864, 420, ___, 92, 40, 16, 6.

We have to find the missing number in the given series.

Now, take the above series in reverse order,

Then, 6, 16, 40, 92, __, 420, 864.

Each term can be written as

$\begin{array}{l}{16=6 \times 2+4} \\ {40=16 \times 2+8} \\ {92=40 \times 2+12} \\ {864=420 \times 2+24}\end{array}$

So, each term is obtained by two times of previous number added to corresponding multiple of 4.

Now, missing number = 92 x 2 + 16 = 184 + 16 = 200.

Hence, the missing number = 200.