Question

What are the next three terms in the sequence? –6, 5, 16, 27, … (1 point)

Answer 1

38, 49, and 60

Step-by-step explanation:

We will first find a pattern in this sequence.

Notice how we add 11 every time to get the next term.

So to find the next three terms, I add 11 :

27 + 11 = 38

38 + 11 = 49

49 + 11 = 60

Hence, the next three terms are 38, 49, and 60.

Answer 2

SolutioN:-

AP :- -6 ,5 ,16 ,27,...

Common Difference:-

→ D =
`\sf \: a_2 - a_1`

→ D = 5 - (-6)

→ D = 5 + 6

→ D = 11

Next Three Terms :-

`\longrightarrow`First Term :- -6

`\longrightarrow`Second Term :- -6 + 11 = 5

`\longrightarrow`Third Term :- 5 + 11 = 16

`\longrightarrow`Fourth Term :- 16 + 11 = 27

`\longrightarrow`Fifth Term :- 27 + 11 = 38

`\longrightarrow`Sixth Term :- 38 + 11 = 49

`\longrightarrow`Seventh Term :- 49 + 11 = 60

Therefore, the next three terms in the sequence are 38, 49, and 60.