✏️ Development:
⭐ Initially, we have to find the reason why it was -1.5:
![\large {\text {$ \sf f (n+1) = -2 f(n) $}}](https://img.qammunity.org/2022/formulas/mathematics/high-school/zie7yxyjkkdbl46r1kmko3nzvtkzebic4f.png)
➡️ Having n, then we'll find the value of n, then we'll replace it with the found result.
![\large {\text {$ \sf f (x+1) = -2.x = -1,5 $}}](https://img.qammunity.org/2022/formulas/mathematics/high-school/ztbhz0vocmljn8d048msy44lwsrzuz9fkx.png)
⌛ So, we will have to find what x is worth in this case:
![\large {\text {$ \sf f ( 0,75 +1 ) = -2 \cdot 0,75 $}}](https://img.qammunity.org/2022/formulas/mathematics/high-school/qnzms6l4yb5dgizghtptc5dq1r2pi7g2gz.png)
![\large {\text {$ \sf f ( 0,75) = -1,5 $}}](https://img.qammunity.org/2022/formulas/mathematics/high-school/jubaovjze6l7c56pikmkz4c1tcy8xrdht1.png)
→ Knowing this...
![\large {\text {$ \sf f ( 1,5 + 1 ) = -2 \cdot 1,5 $}}](https://img.qammunity.org/2022/formulas/mathematics/high-school/uqite8iszv556jkpchzr75x7ip4t5si7dc.png)
![\checkmark](https://img.qammunity.org/2022/formulas/mathematics/college/7x5ka48vsj4mf0t1sry5agno6fs5d4okvi.png)
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