can you figure this out, 1,5,21,85 , ,6741
(1 * 4) + 1 = 5
(5 * 4) + 1 = 21
(21 * 4) + 1 = 85
(85 * 4) + 1 = 341
(341 * 4) + 1 = 1,365
thank you Ms Sue for looking out for us!
You're welcome, Miriam. I hope you get the hang of these patterns.
Miriam, hate to be a stick in the mud, but can you please check the last number in your sequence?
I agree with Ms. Sue's pattern, but then the next term should have been
1365*4 + 1 = 5461 , not 6741
To figure out the missing number in the sequence 1, 5, 21, 85, ___, 6741, we can look for a pattern or rule that governs the numbers. One way to approach this is by analyzing the relationship between each adjacent pair of numbers.
If we look at the first pair of numbers (1, 5), we can see that 5 is obtained by multiplying 1 by 5. Similarly, if we look at the second pair (5, 21), we can obtain 21 by multiplying 5 by 4 (5 * 4 = 20) and then adding 1. Moving on to the third pair (21, 85), we can see a similar pattern. 85 is obtained by multiplying 21 by 4 and then adding 1.
Based on this pattern, it seems that each number in the sequence is obtained by multiplying the previous number by 4 and then adding 1. So, to find the missing number, we can apply the same rule.
Starting from the previous number in the sequence (85), we multiply it by 4 (85 * 4 = 340) and then add 1. Thus, the missing number in the sequence is 341.
Therefore, the complete sequence would be 1, 5, 21, 85, 341, 6741.