Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule.A(n) = 1 + (n – 1)(–5.7)
1, –21.8, –56
–5.7, –21.8, –51.3
1, –16.1, –50.3
0, –17.1, –51.3
If someone answers this, i'd like if someone could help me to know how to solve it too, please and thank you!
Answers
1, - 16.1, - 50.3 ← third on list
To find the required terms, substitute n = 1, 4, 10 into the rule and evaluate
A(1) = 1 + (1 - 1)(- 5.7) = 1 + 0 = 1
A(4) = 1 + (4 - 1)(- 5.7 ) = 1 + (3 × - 5.7 ) = 1 - 17.1 = - 16.1
A(10) = 1 + (10 - 1 )(- 5.7) = 1 + (9 × - 5.7) = 1 - 51.3 = - 50.3
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