The table represents a linear equation.
1 answer:
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Answer:
The sequence aₙ = -15 +5n
The fifth term of the sequence
a₅ = 10
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given sequence
-10,-5,0,5,10,15,20,.....
The first term = -10
The difference of two terms in the given sequence is equal
d = -5-(-10) = -5 + 10 = 5
d = 0 -(-5) = 5
The given sequence is in arithmetic progression
<u><em>Step(ii):-</em></u>
The sequence
aₙ = -10 +(n-1) 5
aₙ = -10 + 5n -5
aₙ = -15 +5n
<u><em>Step(iii):-</em></u>
The sequence aₙ = -15 +5n
put n = 5
a₅ = -15 + 5(5) = -15 +25 = 10
<u><em>Final answer:-</em></u>
The sequence aₙ = -15 +5n
The fifth term of the sequence
a₅ = 10
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