Use distributive property to solve.
2x(5x+3) + 7(5x+3)
1. distribute
2x•5x = 10x^2
2x•3= 6x
10x^2+6x
7•5x = 35x
7•3= 21
35x+21
2. combine like terms
10x^2+6x+35x+21
10x^+ 41x +21 [final answer]
Answer:
2
3
−
3
2
−
8
−
3
Step-by-step explanation:
Answer:
Step-by-step explanation:
In a geometric sequence, the consecutive terms differ by a common ratio,r. Considering the given sequence,
r = 6/- 2 = - 18/6 = - 3
Therefore, the sequence is geometric.
The formula for determining the nth term of a geometric progression is expressed as
Tn = ar^(n - 1)
Where
a represents the first term of the sequence.
r represents the common ratio.
n represents the number of terms.
From the information given,
a = - 2
r = - 3
The explicit formula is
Tn = - 2 × (- 3)^(n - 1)
To find the 8th term, T8,
T8 = - 2 × (- 3)^(8 - 1)
T8 = - 2 × (- 3)^7
T8 = - 2 × - 2187
T8 = 4374
Answer:
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