Answer:
S₁₅ = 127.5
Step-by-step explanation:
the nth term of an arithmetic progression is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
given a₃ = 1 and a₇ = 7 , then
a₁ + 2d = 1 → (1)
a₁ + 6d = 7 → (2)
subtract (1) from (2) term by term to eliminate a₁
0 + 4d = 6
4d = 6 ( divide both sides by 4 )
d = 1.5
substitute d = 1.5 into (1) and solve for a₁
a₁ + 2(1.5) = 1
a₁ + 3 = 1 ( subtract 3 from both sides )
a₁ = - 2
the sum to n terms of an arithmetic progression is
=
[ 2a₁ + (n - 1)d ]
with a₁ = - 2 and d = 1.5 , then
S₁₅ =
[ (2 × - 2) + (14 × 1.5) ]
= 7.5(- 4 + 21)
= 7.5 × 17
= 127.5
I don’t no this I’m sorry
The answer is 89
we should just divide 534 by 6 and thats the answer
Hello There!
Well, as you know a number line is a line where you can place numbers with different spaces between them. It can be used to compare them in distance (the further apart they are on the line, the greater the difference between the two numbers)
Hope This Helps You!
Good Luck :)
- Hannah ❤
Answer:
7. 8125 l
Step-by-step explanation:
256 km ....... 20l
100 km ...........x l
x = 100×20/256
= 7. 8125 l