Question

50th term 64 57 50 43...

Answer 1

hello

to solve this question, we need to know if this sequence is an arithmetic or geometric progression

first term (a) = 64

common difference (d) = -7

the nth term of an arithemetic progression is given as

$\begin{gathered} T_n=a+(n-1)d_{} \\ n=\text{nth term} \\ a=\text{first term} \\ d=\text{common difference} \end{gathered}$

now let's substitute the values into the equation above

$\begin{gathered} T_n=a+(n-1)d_{} \\ a=64 \\ d=-7 \\ T_{50}=64+(50-1)\times-7 \\ T_{50}=64+(49\times-7) \\ T_{50}=64+(-343) \\ T_{50}=64-343 \\ T_{50}=-279 \end{gathered}$

from the calculations above, the 50th term of the sequence is -279