Answer:
<h2>
aₙ = n² + 2n + 1</h2>
Step-by-step explanation:
a₁ = 4 = 2² = (1 + 1)²
a₂ = 9 = 3² = (2 + 1)²
a₃ = 16 = 4² = (3 + 1)²
a₄ = 25 = 5² = (4 + 1)²
a₅ = 36 = 6² = (5 + 1)²
Therefore:
<u>aₙ = (n + 1)² = n² + 2n + 1</u>
Answer:
14.25
Step-by-step explanation:
14 25/100= 14*100+25/100=
1400+25/ 100
= 1425/100
= 14.25
Answer:
8th term- 6,561
Step-by-step explanation:
Each term in the sequence is being multiplied by 3. For example, 3x3=9 and 9x3=27. Now, we need to continue multiplying numbers, so we can list them all here, still starting with 3.
1&2) 3x3=9
3) 9x3=27
4) 27x3=81
5) 81x3=243
6) 243x3=729
7) 729x3=2,187
8) 2,187x3=6,561
The 8th term of the geometric sequence is 6,561.
Hope this helps and have a great day! ^^