6x+7y=32 and 2x+5y=16
if you add the two equations you get the first answer and if you subtract the two equations you get the second answer
Answer:
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20 + 8x = 32
- 20
8x = 12
-- --
8 8
x = 3/2= 1 1/2
The third term of the geometric progression will be 1 / 27 with common ratio 2 / 3.
We are given that:
2nd term of geometric progression = 1 / 18
5th term = 4 / 243
Now, we can also write it as:
2nd term = a r ( where r is the common ratio and a is the initial term.)
a r = 1 / 18
5th term = a r⁴
a r⁴ = 4 / 243
Now divide 5th term by 2nd term, we get that:
a r⁴ / a r = ( 4 / 243 ) / ( 1 / 18 )
r³ = 72 / 243
r³ = 8 / 27
r = ∛ (8 / 27)
r = 2 / 3
3rd term = a r²
a r² = a r × r
= 1 / 18 × 2 / 3
3rd term = 1 / 27
Therefore, the third term of the geometric progression will be 1 / 27 with common ratio 2 / 3.
Learn more about geometric progression here:
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Your question was incomplete. Please refer the content below:
The 2nd and 5th term of a GP are 1/18 and 4/243 respectively find the 3rd term
Significant figures refers to digits within a number which must be included in other depict correct quantity of the figure.
- 4.29478416 = 4.2947842 ( 8 significant figures)
- 4.29478416 = 4.29478 (6 significant figures)
- 4.29478416 = 4.295 ( 4 significant figures)
- 4.29478416 = 4.3 (2 significant figures)
To round a number to a certain number of significant figures,
- Only leading 0 which comes before the decimal Point are regarded as insignificant.
- Once the number of significant figures have been identified, the next number after this is either rounded up to 1 and added to the last value(if number is ≥5) or rounded to 0 (if number is less than 5)
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