Answer:
number 1 is arithmetic , number 2 is geometric number 3 is arithmetic number 4 is arithmetic , number5 is geometric number 6 is arithmetic
7. 20, 4, 0.8
8. 54, 162, 486
9. 288, -576, 1157
Step-by-step explanation:
Answer:
The sum =105
Step-by-step explanation:
It is given that, finite sequence 3, 7, 11, ..., 27.
<u>Points to remember</u>
1). For a finite sequence sum of n term is given by
Sum = n/2[first term + last term]
2). nth term of of an AP
tₙ = a + (n - 1)d
Where a - First term
d - common difference
<u>To find the number of terms in the given sequence</u>
Here a = 3 and d = 7 - 3 = 4
tₙ = a + (n - 1)d
27 = 3 + (n - 1)*4
4(n -1) = 27 - 3 = 24
n - 1 = 24/4 = 6
n = 6 +1 =7
<u>To find the sum</u>
Sum = n/2[first term + last term]
= 7/2[3 + 27]
= 7/2[30] = 7 * 15
= 105
Let one of the numbers be x
The other number is x + 2
x(x + 2) = 5( x + x + 2) - 10
x² + 2x = 10x + 10 - 10
x² - 8x = 0
x(x - 8) = 0
x = 0 or x = 8
x = 8,
x + 2 = 10
Answer: The numbers are 8 and 10.
Answer: m = ½
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