Answer:
<h2>n = 8</h2>
Step-by-step explanation:
Given the nth term of an arithmetic sequence to be Tn = a+(n-1)d
a = first term of the sequence
n = number of terms
d = common difference.
Given the first element a = 2 and 22nd to be 14
T22 = a+(22-1)d = 14
a+21d = 14
Substtuting a = 2 into the equation to get d
2+21d = 14
21d = 12
d = 12/21
d = 4/7
The nth term of the sequence given a = 2 and d = 4/7 will be expressed as;
Tn = 2+(n-1)4/7
Given Tn = 6
6 = 2+(n-1)4/7
6 = 2+4/7 n - 4/7
6-2+4/7 = 4/7 n
32/7=4/7 n
32 = 4n
n = 32/4
n = 8
Answer:
6 : 23
Step-by-step explanation:
Answer: grey-
blue-
yellow
Step-by-step explanation:
is a fraction with the denominator 6. It is less than one (5/6 = 0.83 [rounded]. 0.83 is less than 1) but greater than
(3/4 = 0.75. 0.75 is less than 0.83)
Note: To turn a fraction into a decimal you simply divide the numerator by denominator. (
→ numerator/denominator → (decimal)
