Answer: the 63rd term is - 176
Step-by-step explanation:
In an arithmetic sequence, consecutive terms differ by a common difference.
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.
From the information given,
a = 10
d = 7 - 10 = 4 - 7 = 1 - 4 = - 3
n = 63
We want to determine the value of the 63rd term, T63. Therefore,
T63 = 10 + (63 - 1) × - 3
T63 = 10 - 186 = - 176
