Question

6,24,60,_,210 logical reasoning​

Answer 1

Look at 1st difference sequence 6, 18, 36, 60, 90 __

Now look at the 2 nd difference sequence which is the difference sequence of the 1st difference sequence is 12, 18, 24, 30, ____

Is it now an arithmetic progression?

Don't forget what is an arithmetic progression and a geometric progression Revise the definitions one again

The required sequence was 0, 6, 24, 60, 120, 210, 336

Look at the question once again It may not be very obvious, but a better method to solve this question is

0=13−1,6=23−2,24=33−33−3,60=43−40=13−1,6=23−2,24=33−33−3,60=43−4

This given an answer 73−7=33673−7=336

The same as our previous result

Answer 2

$<svg width="250" height="250" viewBox="0 0 100 100">\ \textless \ br /\ \textgreater \ \ \textless \ br /\ \textgreater \ <path fill="black" d="M92.71,7.27L92.71,7.27c-9.71-9.69-25.46-9.69-35.18,0L50,14.79l-7.54-7.52C32.75-2.42,17-2.42,7.29,7.27v0 c-9.71,9.69-9.71,25.41,0,35.1L50,85l42.71-42.63C102.43,32.68,102.43,16.96,92.71,7.27z"></path>\ \textless \ br /\ \textgreater \ \ \textless \ br /\ \textgreater \ <animateTransform \ \textless \ br /\ \textgreater \ attributeName="transform" \ \textless \ br /\ \textgreater \ type="scale" \ \textless \ br /\ \textgreater \ values="1; 1.5; 1.25; 1.5; 1.5; 1;" \ \textless \ br /\ \textgreater \ dur="2s" \ \textless \ br /\ \textgreater \ repeatCount="40"> \ \textless \ br /\ \textgreater \ </animateTransform>\ \textless \ br /\ \textgreater \ \ \textless \ br /\ \textgreater \ </svg>$

Look at 1st difference sequence 6, 18, 36, 60, 90 __

Now look at the 2 nd difference sequence which is the difference sequence of the 1st difference sequence is 12, 18, 24, 30, ____

Is it now an arithmetic progression?

Don't forget what is an arithmetic progression and a geometric progression Revise the definitions one again

The required sequence was 0, 6, 24, 60, 120, 210, 336

Look at the question once again It may not be very obvious, but a better method to solve this question is

0=13−1,6=23−2,24=33−33−3,60=43−40=13−1,6=23−2,24=33−33−3,60=43−4

This given an answer 73−7=33673−7=336

The same as our previous result.