Continue these decimal patterns
a) 1,0.5,0.3,0.25,0.2,--- ,----,-----.
b) 0,0.5,0.6,0.75,0.8,0.83,----,---,---
a) 1/6,1/7,1/8,...
a) To continue the decimal pattern 1, 0.5, 0.3, 0.25, 0.2, we can determine the pattern by dividing each term by 2.
1 ÷ 2 = 0.5
0.5 ÷ 2 = 0.25
0.25 ÷ 2 = 0.125
Using this pattern, the next term would be 0.125. Continuing the pattern, we divide 0.125 by 2:
0.125 ÷ 2 = 0.0625
Therefore, the next term in the sequence would be 0.0625.
a) To continue the decimal pattern 1, 0.5, 0.3, 0.25, 0.2, we can observe that each subsequent term is obtained by dividing the previous term by 2.
To find the next term, we divide the previous term (0.2) by 2:
0.2 ÷ 2 = 0.1
So, the next term in the pattern is 0.1.
Continuing further, we can divide each subsequent term by 2 to find the remaining terms:
0.1 ÷ 2 = 0.05
0.05 ÷ 2 = 0.025
The completed pattern is: 1, 0.5, 0.3, 0.25, 0.2, 0.1, 0.05, 0.025.
b) To continue the decimal pattern 0, 0.5, 0.6, 0.75, 0.8, 0.83, we can observe that each subsequent term is obtained by adding a smaller increment than the previous one.
To find the next term, we will analyze the differences between consecutive terms:
0.5 - 0 = 0.5
0.6 - 0.5 = 0.1
0.75 - 0.6 = 0.15
0.8 - 0.75 = 0.05
0.83 - 0.8 = 0.03
From the differences, we can notice that the increments are decreasing (0.5, 0.1, 0.15, 0.05, 0.03).
To continue the pattern, we can continue this decreasing sequence of increments:
0.83 + 0.02 = 0.85
0.85 + 0.01 = 0.86
So, the next terms in the pattern are 0.85 and 0.86.
Continuing further, we can add decreasing increments to find the remaining terms. However, the pattern is not clear enough, so it is challenging to provide a definitive answer without more information.