Subjects algebra

Sequence Second Term 86C0C3

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1. **State the problem:** We are given a sequence where the first term is $1 - a$. The term-to-term rule is: add $2a$ then multiply by $3$. We need to find the second term. 2. **Write the formula for the term-to-term rule:** If the first term is $T_1$, then the second term $T_2$ is given by: $$T_2 = (T_1 + 2a) \times 3$$ 3. **Substitute the first term into the formula:** $$T_2 = ((1 - a) + 2a) \times 3$$ 4. **Simplify inside the parentheses:** $$T_2 = (1 - a + 2a) \times 3 = (1 + a) \times 3$$ 5. **Multiply by 3:** $$T_2 = 3(1 + a) = 3 + 3a$$ **Final answer:** The second term of the sequence is $3 + 3a$.