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Type the correct answer in each box,
For the sequence (-10,-5, 0, 5, 10, 15, 20,...), the index starts at 1,
In the sequence, the index of I Is 1. When n = 5, the corresponding term in the sequence is

Respuesta :

Answer:

The [tex]n^{th}[/tex] sequence aₙ = -15 +5n

The fifth term of the sequence

a₅ = 10

Step-by-step explanation:

Step(i):-

Given sequence

           -10,-5,0,5,10,15,20,.....

The first term = -10

The difference of two terms in the given sequence is equal

d = -5-(-10) = -5 + 10 = 5

d = 0 -(-5) = 5

The given sequence is in arithmetic progression

Step(ii):-

The [tex]n^{th}[/tex] sequence

[tex]a_{n} = a+(n-1) d[/tex]

aₙ = -10 +(n-1) 5

aₙ = -10 + 5n -5

aₙ = -15 +5n

Step(iii):-

The [tex]n^{th}[/tex] sequence aₙ = -15 +5n

put n = 5

a₅ = -15 + 5(5) = -15 +25 = 10

Final answer:-

The [tex]n^{th}[/tex] sequence aₙ = -15 +5n

The fifth term of the sequence

a₅ = 10

wolferaiderpup

Answer:

The sequence starts with -10, and the index starts at 1. So, the index of -10 is 1.

n = 5 refers to the fifth term of the sequence, which is 10.

Step-by-step explanation:

Plato Answer

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