The 20th term is 140
Explanation:
The sequence: 7, 14, 21, 28, 35, ...
The difference between the terms in the sequence:
14 - 7 = 21-14 = 7
As a result, we apply arithmetic progression
The formula:
[tex]T_n=\text{ a + (n-1)d}[/tex]
where a = first term = 7
n = number of terms = 20
d = common difference
d = The difference between the terms = 7
We input the above into the formula to find the 20th term:
[tex]\begin{gathered} T_{20}\text{ = 7 + (20-1)}\times7 \\ T_{20}\text{ = 7 + 19(7) = 7 + 133} \\ T_{20}\text{ = 140} \\ Hence,t\text{he 20th term is 140} \end{gathered}[/tex]
