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.

Answer:
the numbers are 18 and 38
Step-by-step explanation:
x =smaller integer and y =larger integer
Answer:
72/149
Step-by-step explanation:
Just to clarify, the curly braces mean the same thing as normal parenthesis.
(12 + 5^2) = (12 + 25) = 37
(-7-15)^2 = (-22)^2 = 484
6^3 = 216
(12 + 5^2) - (-7-15)^2 = 37 - 484 = 447
6^3 / ((12 + 5^2) - (-7 - 15)^2) = 216 / 447 = 72/149
1. First I turned the fractions into decimals, just to make things easier for me.2. That gave me => (.25x)+(.75)+(.375)=(3.25)
3. Then, I combined like terms and move my equation around; so, that gave me (.25x) = (3.25) - (.75) - (.375) and when I solve the right side of the equation it gives me
(.25x) = (2.125)
4. After combining like terms and simplifying (the way I did in step 3), I will divide both sides by .25, to get the value of X alone; so, my equation then looks like => x=8.5