Write the next number in the sequence.
1, 1, 7, 19, 37,......
Answers
Answered by
3
there are two series in this question one of them is 1,7,37while the other is 1,19when we see the first series carefully we can notice that the first difference is 6 and the first difference in the second series is 18 richest 6 into 3 now in the first series between 7 and 37 there is a difference of 30 which is 6 ×5 so now in the second series there will be a difference of 42 which is 6 x 7 so the answer is 61
shadowsabers03:
Wow, nice answer. Didn't think about it.
Marked as the brainliest!
Observe the difference between two consecutive terms in the sequence. They're continuous multiples of 6.
1 + 0 = 1; 1 + 6 = 7; 7 + 12 = 19; 19 + 18 = 37; 37 + 24 = 61......
Or each term in the sequence is 1 added to 6 times the triangular number of the number which is 2 less than the term.
1 = 6 x ((-1) x 0)/2 + 1; 1 = 6 x (0 x 1)/2 + 1; 7 = 6 x (1 x 2)/2 + 1; 19 = 6 x (2 x 3)/2 + 1; 37 = 6 x (3 x 4)/2 + 1; 61 = 6 x (4 x 5)/2 + 1......
Answered by
2
if we count from the 2nd 1, we will notice that the difference grows by 6.
So, by reaching 37 the difference would have been reached to 24.
So, the answer is 37+24=61
I hope that the answer is correct.
So, by reaching 37 the difference would have been reached to 24.
So, the answer is 37+24=61
I hope that the answer is correct.
Similar questions