Each day her goal is to make 4 more baskets than she made thr day before. If she makes 10 baskets the first day and meets her go for 2 weeks how many baskets will Janelle make on the 14th day?

Respuesta :

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.

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