What is the value of -7 3/5+ -5 4/7
2 answers:
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Answer:
a = 2 , r = 5
Step-by-step explanation:
The n th term of a geometric progression is
= a
where a is the first term and r the common ratio
Given the 4 th term is 250, then
ar³ = 250 → (1)
Given the 7 th term is 31250, then
a = 31250 → (2)
Dividing the 2 equations gives
=
, that is
r³ = 125 ← take the cube root of both sides
r = = 5
Substitute r = 5 into (1)
a × 5³ = 250, that is
125a = 250 ( divide both sides by 125 )
a = 2