Question

PLZ HELP URGENT GET THE BRAINLIEST AND MORE POINTS

Answer 1

Answer:

• The 27th term is 22

Step-by-step explanation:

Let the first term is a and common difference is d.

The nth term is:

• aₙ = a + (n - 1)d

We have:

• a₆ = 15
• a₉ = 16

The difference of these terms is:

• (a + 8d) - (a + 5d) = 16 - 15
• 3d = 1
• d = 1/3

Then the first term is:

• a + 5*1/3 = 15
• a = 15 - 5/3 = 13 1/3

The nth term equation is:

• aₙ = 13 1/3 + 1/3(n - 1) = 1/3n + 13

If the nth term is 22, find n:

• 1/3n + 13 = 22
• 1/3n = 22 - 13
• 1/3n = 9
• n = 9*3
• n = 27