Respuesta :

kudzordzifrancis

Answer:

[tex]a_{46}=209.5[/tex]

Step-by-step explanation:

The first term of the sequence is [tex]a_1=7[/tex]

The common difference is [tex]d=11.5-7=4.5[/tex]

The nth term is

[tex]a_n=a_1+d(n-1)[/tex]

The 46th term is

[tex]a_{46}=7+4.5(46-1)[/tex]

[tex]a_{46}=7+4.5(45)[/tex]

[tex]a_{46}=209.5[/tex]

zainebamir540

Answer:

a₄₆ = 209.5

Step-by-step explanation:

We have given a arithmetic sequence.

7,11.5,16,20.5,25,...

We have to find the 46th term in the sequence.

The formula to find the nth term is

[tex]a_{n}  = a_{1} -d(n-1)[/tex] where d is common difference.

Now, we have to find the common difference d.

d = 11.5-7

d = 4.5

a₁ = 7

Putting the value of common difference and n = 46 in given formula, we have

a₄₆  = 7+(4.5)(46-1)

a₄₆ = 7+4.5(45)

a₄₆ = 7+202.5

a₄₆ = 209.5 which is the answer.

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