Answer:
19 > 1083
Step-by-step explanation:
Given: The nth term of a sequence is given by .
let βn be the nth term.
then βn = 3n²
Let x be the term which is the first one with a value greater than 1000.
19 th term is the first one with a value greater than 1000 the sequence that is βx > 1000
3x² > 1000
divide by 3
3x²/3 > 1000/3
x² > 1000/3
x² > 333.33.....
to make x the subject of the formula, square root both sides
√x² > √333.333
the square cancel the square root at x
x > √333.333
x>18.257
x > 19 approximately
19 th term is the first one with a value greater than 1000 the sequence.
that is: β19 = 3(19)²
3(316)²
=1083.
Hope it will help.
