Arithmetic, Quadratic, Geometric & Cubic Sequences

basic science concepts in education like practical exams’ solving strategies, critical, theoretical, analytical & calculation-based questions. Social links   / khurshid.akhter.562     / akhterhk      / @biochemistryconcepts9991     / hkakhter   [email protected] Fine effectively nth term formula of Arithmetic, Quadratic, Geometric & Cubic Sequences nth Term Formula in Sequences Arithmetic sequences Find the common differences Find the value of a, & b. a = 1st difference & a+b= 1st term’s value a= coefficient of n, b = constant figure an+b 6, 10, 14, 18, 22 nth term formula 4n+2 22,15, 8, 1, -6 5.5, 7, 8.5, 10, 11.5 nth term formula = 1.5n+4 Find 1st & 2nd common differences Find the value of a, b & c . 2a = 2nd difference, 3a+b= 1st difference & a+b+c= 1st term’s value a= coefficient of n2, b= coefficient of n & c= constant figure “an2+bn+c” Which of sequence is equal to 71.5? Quadratic sequences 1, 4, 9, 16 9, 16, 25, 36 nth term formula == n2+4n+4 4, 19, 40, 67 nth term formula =3n2+6n-5 Geometric sequences 2, 4, 8, 16, 32 nth term formula = a1(r) n-1 Which of sequence is equal to 64? Cubic sequences Find 1st , 2nd & 3rd common differences. Find the value of a, b, c & d . 6a = 3rd difference, 12a+2b= 2nd difference, 7a+3b+c = 1st difference & a+b+c+ d= 1st term’s value add values in “an3+bn2+cn+d” n3+5n+7