Answer:
The first 5 terms are -6,-25,-44,-63 and -82
The sequence is arithmetic
Step-by-step explanation:
Given that A(n + 1) = A(n) − 19 for n ≥ 1 and A(1) = −6
A(1) = -6
A(2) = A(1) − 19 = -6 - 19 = -25
A(3) = A(2) − 19 = -25 - 19 = -44
A(4) = A(3) − 19 = -44 - 19 = -63
A(5) = A(4) − 19 = -63 - 19 = -82
So the first 5 terms are -6,-25,-44,-63 and -82
If they are in arithmetic the common difference will be same, if geometric common ratio will be same.
Let us check common difference,
-25-(-6) = -19
-44-(-25) = -19
-63-(-44) = -19
-82-(-63) = -19
So common difference is same, so the sequence is arithmetic.
