
93. 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96
D = 8
an = a1 + (n-1) * d
16 + (n-1)8 = 96
n — 118 = 96 — 16
8n — 8 = 80
8n = 88
n = 11
Sn = a1 + an/2 * n
S11 = 16 + 96/2 * 11 = 616
95. 14, 21, 28….98
D = 7
an = a1 + (n-1) * d
an = 14 + (n-1) * 7
7n — 7 + 14 = 98
7n = 91
n = 91/7 = 13
Sn = a1 + an/2 * n
S13 = 14 + 18/2 * 13 = 728
97. 12, 18, 24….96
D = 6
an = a1 + (n-1) * d
an = 12 + (n-1) * 6 = 96
6n — 6 + 12 = 96
6n = 90
n = 90/6 = 15
Sn = a1 + an/2 * n
S15 = a12 + 12/2 * 15 = 810
99. D = 5
10, 15, 20…95
an = 10 + (n-1) * 5 = 95
5n — 5 + 10 = 95
5n = 90
n = 90/5 = 18
Sn = a1 + an/2 * n
S18 = 10 + 18/2 * 18 = 945
101. 22, 18
d = a2 — a1 = -4
an > 22 + (n-1) * -4
an > 22 — 4n + 4
26 > 4n
n < 26/4 = 6

103. 27,24…
d = a2 — a1 = -3
an > 27 + (n-1) * -3
an >27 -3n + 3
27 -3n + 3 > 0
30 > 3n
n > 10