Answer:
Step-by-step explanation:
Looking at the arithmetic sequence, the 4th term is 27 the 8th term is 53. The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + (n - 1)d
Where
a represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
Therefore, the 4th term, T4 will be
27 = a + (4 - 1) d
27 = a + 3d - - - - - - - - 1
The 8th term, t8 would be
53 = a +(8 - 1) d
53 = a + 7d - - - - - - - - -2
Subtracting equation 1 from equation 2, it becomes
- 26 = - 4d
d = - 26/- 4 = 6.5
Substituting d = 6.5 into equation 1, it becomes
53 = a + 7 × 6.5
53 = a + 45.5
a = 53 - 45.5 = 7.5
The missing terms are
7.5, 14, 20.5, 27, 33.5, 40, 46.5, 53
