Answer:
The 26th term of an arithmetic sequence is:

Hence, option A is true.
Step-by-step explanation:
Given
An arithmetic sequence has a constant difference 'd' and is defined by

substituting a₁ = -33 and d = 4 in the nth term of the sequence



Thus, the nth term of the sequence is:

now substituting n = 26 in the nth term to determine the 26th term of the sequence




Therefore, the 26th term of an arithmetic sequence is:

Hence, option A is true.
Answer:
y ≈ 32.0°
Step-by-step explanation:
Since the triangle is right use the sine ratio to find y
sin y =
=
, thus
y =
(
) ≈ 32.0° ( nearest tenth )
Step-by-step explanation:
Pete has already completed 27 missions. Pete plans to complete 3 missions per week
Let x represents weeks
Games completed = 3x + 27
Sophie has only completed 13 missions. Sophie plans to complete 5 missions per week.
Games completed = 5x + 13
3x + 27 = 5x + 13
27 - 13 = 5x - 3x
2x = 14
x = 7
By the seventh week, they would have completed equal number of games,