Question

what will be the next number of given series ? 2,7,22,67

Answer 1

02, 07, 22, 67

Observe the last two digits of the sequence which have the cyclicity of 4 and the last two digits repeat in the order {02, 07, 22, 67}

....202, 607, 1822, 5467...

Answer 2

Answer:

Here we should apply the same logic for each terms in the series.

Final Answer: 2, 7, 22, 67, 202

Step-by-step explanation:

For the given question, Logic for the each terms in the series is, Multiply by 3 and add with 1.

Take the first term => 2

Step 1: To get the second term first term should multiply by 3. That is,

                     $2\times3=6$

Step 2: Now step 1 answer should add with 1.

                     $6+1=7$ => Second term

Take the second term => 7

Step 3: To get the third term second term should multiply by 3. That is,

                     $7\times3=21$

Step 4: Now step 3 answer should add with 1.

                   $21+1=22$ => Third term

Take the third term => 7

Step 5: To get the fourth term third term should multiply by 3. That is,

                    $22\times3=66$

Step 6: Now step 5 answer should add with 1.

                   $66+1=67$ => Fourth term

Take the fourth term => 7

Step 7: To get the fifth term fourth term should multiply by 3. That is,

                   $67\times3=201$

Step 8: Now step 7 answer should add with 1.

                  $201+1=202$ => fifth term

Final Answer: 2, 7, 22, 67, 202