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
By rearranging it:
-3x-2x-22xy+4y
=-5x-22xy+4y answer
Answer:

Step-by-step explanation:
The 5th term of the arithmetic sequence is 53. We can write the equation:

The 6th term of the arithmetic sequence is 62. We can write the equation:

Subtract the first equation from the second one to get:


The first term is




The 38th term of the sequence is given by:



It’s the 3 and for number 2 it’s 1

We know the side relations of a right angled Triangle (that is Pythagoras therom)
now, let the missing side be x
- Hypotenuse² = sum of squares of other legs
that is ~
The correct choice is ~ B