Answer:
a₁₅ = 71
Step-by-step explanation:
The nth term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 1 and d = 6 - 1 = 5 , then
a₁₅ = 1 + (14 × 5) = 1 + 70 = 71
Solve the system of equations by the substitution method.
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Answer:
u² + 2u + <u>1</u>
Step-by-step explanation:
In the question it's asking to find the the number in the blank to make the expression a perfect square.
Let the number in the blank be 'x'.
To guess 'x' , use the algebraic identity :-
While matching the expression with identity , the expression will look like this :- <em>u² + 2ux + </em><u><em>x²</em></u>
In the expression given in the question , it's "2u" but after matching the expression with identity , it is found to be "2ux".
⇒ x = 1 (∵ If x will be 1 , then 2ux = 2×u×1 = 2u)
⇒ <u>x²</u> = <u>1</u>
∴ The number in the blank is 1.