Answer: The 25th term of the sequence is 75
Step-by-step explanation:
The given sequence depicts an arithmetic progression. The consecutive terms differ by a common difference. We will apply the formula for arithmetic progression.
Tn = a + (n-1)d
Tn = The value of the nth term of the arithmetic sequence.
a = first term of the sequence.
d = common difference (difference between a term and the consecutive term behind it)
n = number of terms in the sequence.
From the information given,
a = 3
d = 5-3 = 7-5 = 2
We want to look for the 25th term, T25
So n = 25
T25 = 3 + (25-1)2 = 3+ 24×2
T25 = 3 + 72 = 75
1. 1,728
2. You can't tell because it doesn't say the amount one serving will serve, and how many servings she is serving, and how many people come to her party. Sorry!!
I hope I helped with the first one!
Answer:
Step-by-step explanation
x1 = 2, y1 = -2 and m = 3/4
y - y1 = m(x - x1)
y - (-2) = 3/4(x - 2)
y + 2 = 3/4(x - 2)
Multiply each term by 4
4y + 8 = 3(x - 2)
4y + 8 = 3x - 6
4y = 3x - 6 - 8
4y = 3x - 14
Not enough information is given to put an absolute answer it there could be a million reason like d332 nut5 for example
Answer:
<em>AB = 7.35 cm</em>
Step-by-step explanation:
From the attachment,
In ΔDEF,
DF = GH-(GD+FH) = 6 - (2+3) = 1 cm
DE = 2+3 = 5 cm (sum of two radius)
Applying Pythagoras theorem,
In ΔCDI,
DI = GH-(GD+IH) = 6 - (2+1.5) = 2.5 cm
CD = 2+1.5 = 3.5 cm (sum of two radius)
Applying Pythagoras theorem,
AB = EF + CI = 
