2 is greater than one and 3 and 4 and 5
The distance formula for 2 points = √((x2-x1)^2 + (y2-y1)^2)
use R for x1 and y1 and use S for x2 and y2.
Distance = √((10- 1)^2 + (3-(-6))^2)
Distance = √(9^2 + 9^2)
Distance = √(81 + 81)
Distance = √162
Distance = 9√2
Distance = 12.7 ( Rounded to nearest tenth)
The geometric series with 4th term as 10 and 7th term as 80 has the sum of the first tenth terms as 1278.75.
<h3>How to find sum of terms in geometric series?</h3>
aₙ = arⁿ⁻¹
where
- a = first term
- r = common ratio
- n = number of terms
Therefore,
10 = ar³
80 = ar⁶
Hence,
a = 10 / r³
80 = (10 / r₃) r⁶
80 = 10r³
r³ = 80 / 10
r = ∛8
r = 2
a = 10 / 2³
a = 10 / 8 = 5 / 4
The sum of 10 terms can be calculated as follows:
Sₙ = a(rⁿ - 1) / r - 1
Sₙ = 5 / 4 (2¹⁰ - 1) / 2 - 1
Sₙ = 5 / 4 (1024 - 1) / 1
Sₙ = 1.25(1023)
Sₙ = 1278.75
learn more on geometric series here: brainly.com/question/13592208
