Answer:
To get from the first term 5 to the second term 10, you multiply 1 x 5 and add that to the first term 5 to get to the second term: 5 + (1 x 5) = 5 + 5 = 10.
To get from the second term 10 to the third term 20, you multiply 2 x 5 and add that to the second term 10 to get to the third term: 10 + (2 x 5) = 10 + 10 = 20.
To get from the third term 20 to the fourth term 35, you multiply 3 x 5 and add that to the third term 20 to get to the third term: 20 + (3 x 5) = 20 + 15 = 35.
To get from the fourth term 35 to the fifth term 55, you multiply 4 x 5 and add that to the fourth term 35 to get to the fifth term: 35 + (4 x 5) = 35 + 20 = 55.
To get from the fifth term 55 to the desired sixth term, you multiply 5 x 5 and add that to the fifth term 55 to get to the desired sixth term: n = 55 + (5 x 5) = 55 + 25 = 80.
NOTE: In general, to get the nth term of the given sequence, you add to the previous term p, the product of (n - 1) x 5, i.e., n = p + 5(n - 1); therefore, the seventh term of the sequence would be:
n = p + 5(n - 1)
= 80 + 5(6)
= 80 + 30
= 110
Step-by-step explanation:
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