Answer:
824.65
Step-by-step explanation:
Multiplication. If you need help just remember PEMDAS.
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
Answer is in the photo. I can only upload it to a file hosting service. link below!
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Answer: 3, 6, 9, 12
Step-by-step explanation:
A geometric progression has a common ratio.
2,6, 18 and 54 has a common ratio of 3. When you multiply the first number by 3, you get the second number and the same thing applies to the third number.
1, 5, 25 and 125 has a common ratio of 5. When you multiply the first number by 5, you get the second number and the same thing applies to the third number.
4, 8, 16 and 32 has a common ratio of 2. When you multiply the first number by 2, you get the second number and the same thing applies to the third number.
3, 6, 9 and 12 is an arithmetic progression as 3 is added to each number
Answer:
n = 60.22
Step-by-step explanation:
Hello
To find Sn, we need to draw out equations for each a₇ and a₁₉
In an arithmetic progression,
Sn = a + (n-1)d
Where Sn = sum of the A.P
a = first term
d = common difference
a₇ = 32
32 = a + (7-1)d
32 = a + 6d ........equation (i)
a₁₉ = 140
140 = a + (19-1)d
140 = a + 18d .........equation (ii)
Solve equation (i) and (ii) simultaneously
From equation (i)
32 = a + 6d
Make a the subject of formula
a = 32 - 6d .....equation (iii)
Put equation (iii) into equation (ii)
140 = (32 - 6d) + 18d
140 = 32 - 6d + 18d
Collect like terms
140 - 32 = 12d
12d = 108
d = 108 / 12
d = 9
Put d = 9 in equation (i)
32 = a + 6(9)
32 = a + 54
a = 32 - 54
a = -22
When Sn = 511
Sn = a + (n - 1)d
Substitute and solve for n
511 = -22 + (n-1) × 9
511 = -22 + 9n - 9
511 = -31 + 9n
511 + 31 = 9n
542 = 9n
n = 542 / 9
n = 60.22
