Answer:
21, 24, 29
Step-by-step explanation:
To calculate the first 3 terms, substitute n = 1, 2, 3 into the rule, that is
a₁ = 1² + 20 = 1 + 20 = 21
a₂ = 2² + 20 = 4 + 20 = 24
a₃ = 3² + 20 = 9 + 20 = 29
Answer:
Step-by-step explanation:
.
Recall that .
So, we want .
This simplifies to .
We know that .
So, our expression is , which can't be simplified more.
So, our answer is and we're done!
<span>Simplifying
fg + -9n = 10j
Solving
fg + -9n = 10j
Solving for variable 'f'.
Move all terms containing f to the left, all other terms to the right.
Add '9n' to each side of the equation.
fg + -9n + 9n = 10j + 9n
Combine like terms: -9n + 9n = 0
fg + 0 = 10j + 9n
fg = 10j + 9n
Divide each side by 'g'.
f = 10g-1j + 9g-1n
Simplifying
f = 10g-1j + 9g-1n</span>
First establish variables for current age.
Clive's current age = c
Sherman's current age = s
<span>"Three years ago,"
Clive was: (c - 3)
Sherman was: (s - 3)
</span><span>"Sherman was twice as old as Clive."</span><span>
(s - 3) = 2(c - 3)
Then in terms of Sherman's present age, distribute 2, combine like terms
s - 3 = 2c - 6
s = 2c - 6 + 3
s = 2c - 3
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