Table 1 Convergence of the sequence z n... | Emerald Publishing

Table 1

Convergence of the sequence $z_{n}$ ⁠.

$n$	$z_{n}$	${\| \| z_{n + 1} - z_{n} \| \|}_{l_{2}}$
1	$(1.0000, 4.0000, 5.0000, 0, 0, \dots)$
2	$(0.5000, 2.4998, 3.0831, 0, 0, \dots)$	2.4850
3	$(0.1319, 1.3956, 1.6734, 0, 0, \dots)$	1.8269
4	$(- 0.0320, 0.9039, 1.0465, 0, 0, \dots)$	0.8134
5	$(- 0.1089, 0.6730, 0.7528, 0, 0, \dots)$	0.3814
10	$(- 0.3328, 0.0014, - 0.0986, 0, 0, \dots)$	0.1263
100	$(- 0.6237, - 0.8714, - 1.1904, 0, 0, \dots)$	0.0022
200	$(- 0.6478, - 0.9436, - 1.2774, 0, 0, \dots)$	0.0010
300	$(- 0.6563, - 0.9694, - 1.3077, 0, 0, \dots)$	2.8284e−04
400	$(- 0.6607, - 0.9825, - 1.3228, 0, 0, \dots)$	1.4142e−04
500	$(- 0.6633, - 0.9904, - 1.3318, 0, 0, \dots)$	1.0000e−04

	$⋮$	$⋮$
	$↓$	$↓$
	$(- \frac{2}{3}, - 1, - \frac{4}{3}, 0, 0, \dots)$	0