Aldo Ashley
2022-10-23
Answered

Find an explicitly-defined equation for the sequence with ${a}_{1}=4$, ${a}_{2}=8$, ${a}_{3}=12$

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amilazamiyn

Answered 2022-10-24
Author has **14** answers

${a}_{1}=4,{a}_{2}=8,{a}_{3}=12$

${a}_{2}-{a}_{1}=8-4=4$

${a}_{3}-{a}_{2}=12-8=4$

Hence common difference d=4

It is an Arithmetic Sequence with ${a}_{1}=4,d=4$

nth term of A.S. is given by ${a}_{n}={a}_{1}+(n-1)\cdot d$ where n is a positive integer.

nth term ${a}_{n}=4+(n-1)\cdot 4$ is the explicitly defined equation of the giver Arithmetic Sequence.

${a}_{2}-{a}_{1}=8-4=4$

${a}_{3}-{a}_{2}=12-8=4$

Hence common difference d=4

It is an Arithmetic Sequence with ${a}_{1}=4,d=4$

nth term of A.S. is given by ${a}_{n}={a}_{1}+(n-1)\cdot d$ where n is a positive integer.

nth term ${a}_{n}=4+(n-1)\cdot 4$ is the explicitly defined equation of the giver Arithmetic Sequence.

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