Question

for each sequence,find (i) general rule (ii) nth term (iii)100th term of 5,10,15,20...​

Answer 1

Answer:

Step-by-step explanation:

A=5 , d = 10-5 = 5

An = a+(n-1)d

=5+(n-1)5

=5+5n-5

=5n

2. A100 = a+(n-1)d

= 5+(100-1)5

=5+(99)×5

=5+495 = 500

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Answer 2

Answer:

iii)500

Step-by-step explanation:

i)Find a1 by substituting the given information into an = a1 + (n - 1)d.

Substitute the a1 and d values only into an = a1 + (n - 1)d.

Simplify the equation.

ii)an=a+(n-1)d

iii)an=a+(n-1)d

=5+99(5)

=500