Question

The first four terms of a sequence are
T1=1^2
T2=1^2+2^2 T3=1^2+2^2+3^3 T4=T3=1^2+2^2+3^2+4^2
a new sequence is formed as follows
U1=T2-T2
U2=T3-T2
U3=T4-T3 find the values of U1 and U2

Answer 1

Answer:

is U1=T2-T2 check out now

Answer 2

Given data:

• $T_{1}=1^{2}$

• $T_{2}=1^{2}+2^{2}$

• $T_{3}=1^{2}+2^{2}+3^{2}$

• $T_{4}=1^{2}+2^{2}+3^{2}+4^{2}$

To find: $U_{1}$ and $U_{2}$

Step-by-step explanation:

$\therefore U_{1}=T_{2}-T_{1}$

• $=1^{2}+2^{2}-1^{2}$
• $=2^{2}$

$\therefore U_{2}=T_{3}-T_{2}$

• $=1^{2}+2^{2}+3^{2}-1^{2}+2^{2}$
• $=3^{2}$

$\therefore U_{3}=T_{4}-T_{3}$

• $=1^{2}+2^{2}+3^{2}+4^{2}-1^{2}-2^{2}-3^{2}$
• $=4^{2}$

Answer: $U_{1}=2^{2}$ and $U_{2}=3^{2}$

NOTE:

The given problem is very simple. Just subtract one value from the other, as required. Then perform calculations and you will get your answer.