First, you have to transform your numbers into proper fractions:
1 and 3/5 = (5+3)/5 = 8/5
1 and 1/5 = (5+1)/5 = 6/5
Therefore your arithmetic sequence is 2, 8/5, 6/5, ...
In an arithmetic sequence, the difference between a given term and the preceding one is equal to the difference between the <span>following </span>term and the given one. In your case:
d = 8/5 - 2 = (8-10)/5 = -2/5
As a prove: d = 6/5 - 8/5 = -2/5
Now, in order to find the 25th term you need to apply the formula:
an = a + (n - 1)d
where an is the number you are looking for, a is the first term, n is the term you are looking for and d is the distance.
Hence,
a₂₅ = 2 + (25-1)(-2/5) = 2 - 24·2/5 = 2 - 48/5 = (10-48)/5 = -38/5
Answer:
5
Step-by-step explanation:
D² = ( x2 - x1 )² + ( y2 - y1 )²
= [ (-18) - (-18) ]² + [ (-1) - (-6) ]²
= ( -1 + 6 )²
D² = ( 5 )²
hence, D = 5
Answer:
y = -3/4(x+4)
Step-by-step explanation:
The point slope formula is given by
y-y1 = m(x-x1)
where m is the slope and (x1,y1) is a point on the line
y-0 = -3/4(x - -4)
y = -3/4(x+4)
Answer:
Step-by-step explanation:
1/8 = 1/9 + x ...multiply by LCD of 72
9 = 8 + 72x
9 - 8 = 72x
1 = 72x
1/72 = x
1/8 = 1/10 + x....multiply by 40
5 = 4 + 40x
5 - 4 = 40x
1 = 40x
1/40 = x
1/8 = 1/11 + x....multiply by 88
11 = 8 + 88x
11 - 8 = 88x
3 = 88x
3/88 = x
can all unit fractions be made in more then 1 way like this ?
not to sure because that last one....because it has been that a unit fraction is the outcome of adding together 2 unit fractions...but that last one...3/88 is not a unit fraction
