Answer:
Janelle will make 62 baskets on 14th day.
Step-by-step explanation:
Given,
Number of goals on 1st day = 10
We need to find the number of goals on 14th day.
Solution,
Since Janelle made 10 goals on 1st day and want to make 4 more basket from the day before.
So we can say that;
[tex]a_1=10[/tex] and [tex]d=4[/tex]
And also [tex]n=14[/tex]
here [tex]a_1[/tex] = first term
d = common difference
n = number of terms
Now we apply the formula of A.P.
[tex]T_n=a_1+(n-1)d[/tex]
now substituting the given values, we get;
[tex]T_{14}=10+(14-1)4\\\\T_{14}=10+13\times 4\\\\T_{14}=10+52 =62[/tex]
Hence Janelle will make 62 basket on 14th day.