About sequences....
(i) 32, 25,18,11,4 ____(Answer?)
(ii)1,3,6,10,15 ____
(iii) 1,3,9,27,81
(iv)64,16,4,1,1/4(this is NOT a typo!)
Oh, for heaven's sake!
32 - 25 = ??
3 - 1 = ??
3 x ?? = 9
64 / ?? = 16
Find the relationship between the first two or three of each series and then apply that to the rest of the series.
ok.... :P I'm one of the worst in maths!
To find the patterns in the given sequences, we need to determine the relationship between each term and the previous term. Let's examine each sequence one by one:
(i) 32, 25, 18, 11, 4:
To find the pattern, we notice that each term is decreasing by 7 from the previous term. Therefore, the next term in the sequence will be 4 - 7 = -3.
Answer: -3
(ii) 1, 3, 6, 10, 15:
To find the pattern, we observe that each term is obtained by adding consecutive integers starting from 1. That is, the second term is 1 + 2 = 3, the third term is 1 + 2 + 3 = 6, and so on. Therefore, the next term in the sequence will be 1 + 2 + 3 + 4 = 10 + 5 = 15 + 6 = 21.
Answer: 21
(iii) 1, 3, 9, 27, 81:
To find the pattern, we observe that each term is obtained by multiplying the previous term by 3. That is, the second term is 1 * 3 = 3, the third term is 3 * 3 = 9, and so on. Therefore, the next term in the sequence will be 81 * 3 = 243.
Answer: 243
(iv) 64, 16, 4, 1, 1/4:
To find the pattern, if we divide each term by the previous term, we notice that each term is obtained by dividing the previous term by 4. That is, the second term is 64 / 4 = 16, the third term is 16 / 4 = 4, and so on. Therefore, the next term in the sequence will be (1/4) / 4 = 1/16.
Answer: 1/16