CLUE W: WHY DID THEY TAKEIT? RECURSIVE SEQUENCES QUESTIONS 1) If $$ a_{1}=10 $$ and $$ a_{n}=3 a_{n-1} $$, then find the value of $$ a_{5} $$

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1. We are given a recursively defined sequence with
   $$
   a_{1} = 10 \quad \text{and} \quad a_{n} = 3a_{n-1}.
   $$
2. To find $$ a_{5} $$, we calculate the terms step by step.

3. Calculate $$ a_{2} $$:
   $$
   a_{2} = 3a_{1} = 3 \times 10 = 30.
   $$

4. Calculate $$ a_{3} $$:
   $$
   a_{3} = 3a_{2} = 3 \times 30 = 90.
   $$

5. Calculate $$ a_{4} $$:
   $$
   a_{4} = 3a_{3} = 3 \times 90 = 270.
   $$

6. Finally, calculate $$ a_{5} $$:
   $$
   a_{5} = 3a_{4} = 3 \times 270 = 810.
   $$

Thus, the value of $$ a_{5} $$ is $$ 810 $$.
$$ a_{5} = 810 $$

CLUE W: WHY DID THEY TAKEIT? RECURSIVE SEQUENCES

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If and , then find the value of

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CLUE W: WHY DID THEY TAKEIT? RECURSIVE SEQUENCES QUESTIONS If and , then find the value of