Question

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

Answer 1

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.

Explanation:

Plato Answer

Answer 2

The
`n^(th)` sequence aₙ = -15 +5n

The fifth term of the sequence

a₅ = 10

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
`n^(th)` sequence

`a_(n) = a+(n-1) d`

aₙ = -10 +(n-1) 5

aₙ = -10 + 5n -5

aₙ = -15 +5n

Step(iii):-

The
`n^(th)` sequence aₙ = -15 +5n

put n = 5

a₅ = -15 + 5(5) = -15 +25 = 10

Final answer:-

The
`n^(th)` sequence aₙ = -15 +5n

The fifth term of the sequence

a₅ = 10