3,256,423,865 rounded to the nearest million is 3,256,000,000. How I know is that the 4 in the hundred thousands place is lower than 5. So the 6 would of stayed the same and the rest of the number behind 4 would of been 0, including the 4.
Answer:
-1
Step-by-step explanation:
The sum of -1/2 and -5/10 is -1.
The equation for this would be 4x+3=y where x is months and y is your amount of toys after x months.
plug in 4 for x -> 4(4)+3=y
solve -> 16+3=y
y=19
Answer:
Step-by-step explanation:
1) since the sixth term is 3 and the fifth term 24, the common ratio would be 3/24 = 1/8
The formula for finding the nth term of a geometric sequence is
Tn = ar^(n - 1)
If t6 = 3,r = 1/8, then
3 = a × 1/8^(6 - 1) = a × (1/8)^5
a = 3/(0.125)^5 = 98304
The first term is 98304.
Second term is 98304 × 1/8 = 12288
Third term is 12288 × 1/8 = 1536
Third term is 1536 × 1/8 = 192
2) t1 = 4
t2 = - 3t(2- 1) = - 3t1 = - 3 × 4 = - 12
t3 = - 3t(3- 1) = - 3t2 = - 3 × - 12 = 36
t4 = - 3t(4- 1) = - 3t3 = - 3 × 36 = - 108
3) let the numbers be t2,t3 and t4
The sequence becomes
1/2, t2,t3, t4,8
The formula for finding the nth term of a geometric sequence is
Tn = ar^(n - 1)
8 = 1/2 × r^(5 - 1)
8 = 1/2 × r^4
16 = r^4
2^4 = r^4
r = 2
t2 = 1/2 × 2 = 1
t3 = 1 × 2 = 2
t4 = 2 × 2 = 4
Answer:
The value of T₂₀ - T₁₅ is <u>-20</u>.
Step-by-step explanation:
<u>Given</u> :
<u>To</u><u> </u><u>Find</u> :
<u>Using Formula</u> :
General term of an A.P.
- >> Tₙ = nᵗʰ term
- >> a = first term
- >> n = no. of terms
- >> d = common difference
<u>Solution</u> :
Firstly finding the A.P of T₂₀ by substituting the values in the formula :
Hence, the value of T₂₀ is a + 19d.
Secondly, finding the A.P of T₁₅ by substituting the values in the formula :
Hence, the value of T₁₅ is a + 14d
Now, finding the difference between T₂₀ - T₁₅ :
Hence, the value of T₂₀ - T₁₅ is -20.
