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what is the next term in the arithmetic sequence 4 12 20​

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CHITANDA101IN

Answer:  4 , 12 , 20 , 28 , 36 , 44, 52, 60, 68,76,84,92,100

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✏️ Next Term in an Arithmetic Sequence

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  • The next term of the sequence is 28.

Explanation:

We solve for the common difference first. It can be found by subtracting any term except the first term, by its preceding term.

  • [tex] \sf d = a_n - a_{n-1} [/tex]

We take any term and the term that precedes it. Thus,

  • [tex] \sf d = a_2 - a_1 [/tex]
  • [tex] \sf d = 12 - 4 [/tex]
  • [tex] \sf d = 8 [/tex]

Now solve for the next term by adding the common difference to the term that precedes it.

  • [tex] \sf a_n = a_{n-1} + d [/tex]
  • [tex] \sf a_4 = a_{3} + d [/tex]
  • [tex] \sf a_4 = 20 + 8 [/tex]
  • [tex] {\sf \therefore a_4 = {\boxed{\green{\sf{28}}}}} [/tex]

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