Find the 21^st term of the sequence 26, 20, 14, 8, ......... .

Calculation:

The sequence you provided is an arithmetic sequence with a common difference of -6. This means each term is 6 less than the previous one.

To find the 21^st term, we can use the explicit formula for arithmetic sequences:

a_n = a₁ + d(n - 1), where: an is the n^th term

a1 is the first term (26 in this case)

d is the common difference (-6)

n is the term number (21 in this case)

⇒ a₂₁ = 26 - 6(21 - 1)

⇒ a₂₁ = 26 - 120

⇒ a₂₁ = -94

∴ The 21^st term of the sequence is - 94.