lashayabarnes19
Answered

Get the answers you need at Westonci.ca, where our expert community is always ready to help with accurate information. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

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

Sagot :

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

Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.