Answer:
p + 9q.
Step-by-step explanation:
The explicit formula for the nth term of an A. P is
an = a1 + d(n - 1) where a1 = the first term and d = the common difference.
So the 10th term when a1 = p and d = q is:
a10 = p + q(10 - 1)
= p + 9q.
0.0909090909090909 and so on
The answer is in the pic.
The factored form of the given expression x² + x - 2 is ( x - 1 )( x + 2 ).
<h3>What is the factored form of the given expression?</h3>
Given the expression;
x² + x - 2
Consider the standard form ax² + bx + c compared to the given expression;
Now, we find a pair of integers whose product gives the value of c which is -2 and whose sum gives the value of b which is 1.
The integers are -1 and +2.
Check
-1 × 2 = -2
-1 + 2 = 1
Now, we write the factored form using these integers.
( x - 1 )( x + 2 )
Therefore, the factored form of the given expression x² + x - 2 is ( x - 1 )( x + 2 ).
Learn more about factorization here: brainly.com/question/3658321
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